Find the inverse of f(x)= -x + 3

Answers

Answer 1
Let g the inverse function of f.

The most important property of g and f being inverses of each other, is that 

g(f(x))=x,      also f(g(x))=x

so, what one function 'does' to x, the other 'undoes' it.



Thus, we have:

f(g(x))=x      and alos   f(g(x))= -g(x)+3, from the rule


thus : 

-g(x)+3=x

-g(x)=x-3

g(x)=-x+3


check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x


Answer: the inverse of f is g, such that g(x)=-x+3

Related Questions

HELP!!! PLZ HELP!!!

The graph above shows 3 enzymes and their activity at different pH levels.

What is the optimal pH for the enzyme Salivary Amylase?

Use evidence from the graph to support your answer.

Answers

Final answer:

The optimal pH for Salivary Amylase is 6.9, which supports its maximum activity in the slightly acidic environment of the mouth before the food enters the stomach.

Explanation:

The optimal pH for the enzyme Salivary Amylase is 6.9. This optimal pH allows the enzyme to exhibit its maximum catalytic activity. Enzyme activity typically increases with pH up to their optimal point and then decreases with further deviation from this optimum. As enzymes are affected by the environment they are in, Salivary Amylase, which is present in the mouth, functions best at a slightly acidic pH of 6.9, before the food moves to the more acidic environment of the stomach.

The graph shows the activity of different enzymes at different pH levels. To determine the optimal pH for Salivary Amylase, we need to look for the pH value at which the activity is highest for this specific enzyme. From the graph, we can see that the enzyme's activity is highest at pH 7-7.5, which corresponds to its optimal pH. This indicates that Salivary Amylase works most efficiently at a slightly acidic pH.

Final answer:

The optimal pH for the enzyme Salivary Amylase is around 6.9. It breaks down cooked starch into maltose in the mouth, but its activity is deactivated in the stomach.

Explanation:

The optimal pH for the enzyme Salivary Amylase is around 6.9, as indicated in the information provided. Salivary amylase is responsible for breaking down cooked starch into maltose in the mouth. However, its activity is deactivated in the stomach due to the presence of hydrochloric acid (HCl) and the activation of pepsinogen to pepsin.

Please help geometry !

Answers

Point E and point D, (brainliest answer please)

What is another name for plane X?

Answers

plane CRDE :) ok  good to finally answer questions
Final answer:

Plane X in this scenario represents a mathematical concept in statistics. It illustrates the mean number of unoccupied seats from a sample of 225 flights. Therefore, it could also be referred to as 'the mean plane' or 'the plane of unoccupied seats'.

Explanation:

In this context, plane X represents a mathematical term commonly used in statistical analysis. It is a hypothetical plane used to denote a statistical value, in this case, the mean number of unoccupied seats from a sample of 225 flights.

So, another name for plane X could be 'the mean plane' or 'the plane of unoccupied seats' to specifically denote the statistical property it represents in this problem. Remember, this is not a physical plane but a concept employed in statistics to help comprehend and visualize data.

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Sheila is now 15 years older than her younger brother sanjay.ten years from now,sheila will be twice as old as sanjay.find the present age of each of them

Answers

Sheila is 20

Sanjay is 5

Use the table below of the function f(x)=x4-2x3 to answer this question

X F(x)
-1 3
0 0
1 -1
2 0
3 27

What is the average rate of change from x=-1 to x=2? -3, -1, 1, 24

Answers

Average rate of change is slope (m).
(-1,3) and (2,0)

Slope=(y2-y1)/(x2-x1)
m=(0-3)/(2-(-1))
m=(-3)/(3)
m=-1

The average rate of change of the given function from x = -1 to x = 2 is -1.

The average rate of change of a function between two points, x = a and x = b, is calculated as the difference in the function values at these points divided by the difference in x-values, which is similar to the slope formula for a linear function (gradient).

In this case, we are looking for the average rate of change of f(x) = x^4 - 2x^3 from x = -1 to x = 2. Using the table provided:

f(-1) = 3

f(2) = 0

So, the average rate of change is:

(f(2) - f(-1)) / (2 - (-1)) = (0 - 3) / (2 - (-1)) = (-3) / 3 = -1.

What is the sum of the polynomials?

(m + n + 3) + (m + n + 4)?

Answers

Answer:

The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n  +7

Step-by-step explanation:

The given expression is (m + n + 3) + (m + n + 4)

we need  to find the sum of this expression

so, first we add the similar terms

m + n + 3 + m + n + 4

first write the like term together and then constant,

⇒ m + m + n + n +3 + 4

⇒ 2m + 2n  +3 + 4

⇒ 2m + 2n  +7

Therefore, The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n  +7

What is the difference between the ratio AP:PB and the ratio of AP:AB?

Answers

AP:PB compares parts to parts. AP:AB compares parts to a whole, this ratio equals K.

A line segment can be divided into subsegment using ratios. The difference between [tex]AP:PB[/tex] and [tex]AP: AB[/tex] is that:

Ratio [tex]AP:PB[/tex] compares the two subsegments of AB while Ratio [tex]AP: AB[/tex] compares a segment of AB to the whole length of AB.

Given:

[tex]AP:PB[/tex] and [tex]AP: AB[/tex]

In [tex]AP:PB[/tex], we can see that AP and PB has a common point (P).

This means that:

[tex]AB = AP + PB[/tex]

i.e. AP and PB are two subsegments of line segment AB.

So, the ratio [tex]AP:PB[/tex] compares the two subsegments of AB

Because AP and PB are two subsegments of line segment AB.

Then, ratio [tex]AP: AB[/tex] compares a segment of AB to the whole length of AB.

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AC = 19, AB= x +9 and BC= x + 12 Find x

Answers

check the picture below.

Which operation should be performed first for calculations involving more than one arithmetic operation?

parentheses
exponents
multiplication
division

Answers

PEMDAS so it go parentheses, exponents, multiplication, division, addition, and subtraction
Final answer:

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction.


Explanation:

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

In addition to this, the operations within the parentheses should be ideally performed first. it must be then followed by exponents, then multiplication and division, and finally addition and subtraction.

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What are the next 3 numbers in the number sequence? 5, 11, 18, 26, 35, 45, ? ? ?

Answers

56, 68, 81 will be the next three numbers
56, 68, 81.
It increases by 1 everytime first 6 then 7 then 8 then 9 and etc

The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation.

Answers

6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.

Answer:

6.5 x 10∧6 is the answer.

Step-by-step explanation:

A certaint plant grows 1 and 1/6 inches every week.how long will it take the plant to grow 6 and 1/6 inches?

Answers

6 days right because 6 x 1x1/2 = 6 1/2 right

divide 6 1/6 by  1 1/6

6 1/6 = 37/6

1 1/6= 7/6

37/6 / 7/6 =

37/6 * 6/7 = 222/42 = 5 12/42 = 5 2/7 weeks

5. Triangle ABC is a right triangle with CD and AB angle C is a right triangle.
By the ,(.......) △ACB∼△ADC and △ACB∼△CDB. Since similar triangles have (........) sides, BCBA=BDBC and ACAB=ADAC . Using cross multiplication gives the equations (BC)2=(BD)(BA) and (AC)2=(AD)(AB). Adding these together gives (BC)2+(AC)2=(BD)(BA)+(AD)(AB). Factoring out the common segment gives (BC)2+(AC)2=(AB)(BD+AD). Using (........) gives (BC)2+(AC)2=(AB)(AB), which simplifies to (BC)2+(AC)2=(AB)2 .

First paranthese
SAS or AAS or SSS

Second paranthese
Congruent or proportional

Third paranthese
SA or CPCTC

Answers

For the first parenthesis, it would be the Angle Angle Similarity Postulate since we have essentially pairs of corresponding congruent angles that match up, allowing for these three similar triangles

The second parenthesis would be "proportional". Any time you have similar triangles, the sides form a ratio. For example if ABC is similar to DEF, then AB/DE = BC/EF

Finally the third parenthesis would be "Segment Addition Postulate" possibly shorted and abbreviated to simply SA. This idea is that we can glue two lines together to form a larger line. In this case, AD+DB turns into AB.



Answer:

AAS

Proportional

Segment Addition Postulate

Step-by-step explanation:

Confirming that the other answer on here is correct! :D

Let a and b be irrational numbers. Is (ab)^2 always rational, sometimes rational, or never rational?

Answers

When you multiply 2 irrational numbers, the result is always irrational. This applies to squaring as well since it is still multiplying irrational numbers together (though the terms are the same)

Final answer: never rational

Is 12,000,000 the standard form of 1.2 times 10 to the negative 7 power?

Answers

Answer:  No.  To the contrary,  "12,000,000" is the "standard form" of 
                "1.2 times 10 to the POSITIVE 7 power.

That is;  "12,000,000 = 1.2 * 10⁷ " .
____________________________________________

The width of a rectangle is 12 centimeters more than the length the perimeter is 68 centimeters find the

Answers

Length=x
Width=x+12
Perimeter=68

To find the perimeter you have to add all the sides

So it will look like this:
x+(x+12)+x+(x+12)=68
4x+24=68
4x=68-24
4x=44
x=44/4
x=11

the length is 11 cm long
width is 11+12= 23
The width is 23cm long

What is the simplified form of this expression?

Answers

[tex]\bf \cfrac{6x+12}{3x-6}\implies \cfrac{6(x+2)}{3(x-2)}\implies \cfrac{6}{3}\cdot \cfrac{(x+2)}{(x-2)}\implies \cfrac{2}{1}\cdot \cfrac{(x+2)}{(x-2)}\\\\\\ \cfrac{2(x+2)}{(x-2)}[/tex]

Which functions have graphs that are less steep than the graph of f(x)= -4x^2

SELECT EACH CORRECT ANSWER

m(x)=5x2

k(x)=4x2

h(x)=−3x2

j(x)=−x2

g(x)=−5x2

Answers

tTese are all parabolas   whose axis of symmetry  is the y  axis. The negative coefficient means they open downwards and the positive mean they open upwards. The higher the absolute value of the coefficient is the greater the slope, so  2x^2 will be steeper than x^2  and -4x^2 will be steeper than - 2x^2.

So h(x) and j(x)  are the answers.

The quadratic equations that are less steep than  f(x)= -4x² are:

h(x) = -3x² j(x) = -x² Which functions have graphs that are less steep than the graph of f(x)= -4x²?

Here we want to identify which equations have graphs less steep than the graph of the quadratic f(x) = -4x²

To identify those, we just need to see which equations have a leading coefficient with a smaller absolute value than |-4| = 4

These equatios are:

h(x) = -3x²  ---> With a leading coefficient of -3, absolute value of 3.

j(x) = -x² ---> with a leading coefficient of -1, absolute value of 1.

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How many more people attended the Magic's games than attended the pacers' games? 582,295 pacers 715,901 magic

Answers

substract 582295 from 715901:
715901-582295=133606

Answer:

133606 persons

Step-by-step explanation:

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

We have to find the number of persons who attend the Magic's game more than Pacer's game.

To find this, we have to find the difference

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

Number of persons who attended More Magic's game= 715901- 582295

Number of persons who attended More Magic's game= 133606 persons

Hence, the correct answer is 133606 persons

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −13−13, ordered pair: (−1,−3)(−1,−3)

Answers

serdtfyguhijokpijhugyftdresdtfgbhjn

Which number line correctly shows 4.5 – 2.5?

Answers

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

[tex]4.5-2.5[/tex]

According to the number line,

First we go 4.5 units towards the positive axis of x from the origin.

And then back by 2.5 units from there towards the negative axis of x to show the subtraction.

So, it will interpretate the subtraction of 2.5 from 4.5.

Numerically, it is expressed as

4.5-2.5=2

So, It should reach at 2 in the positive axis of x.

Hence, First option is correct.

A number line that correctly shows 4.5 – 2.5 is: A. number line A.

What is a number line?

In Mathematics and Geometry, a number line refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

Based on the information provided above, we have:

4.5 - 2.5 = 2.

Solution = 2.

Therefore, number line A is the correct representation of 4.5 - 2.5 = 2.

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angles a and b are complementary if the measure of angle A is 27 degrees more than measure of angle b, what is the measure of angel b ?

Answers

Complementary angle= two angle whose sum is 90°
a= x +27
b= x
2x+27=90°
2x= 90-27
2x=63
x=63/2
x= 31.5 or 31°30'
b= 31°30' 
a= 31.5+27= 58.5---->58°30'

Evaluate the expression (x-2y)^2where x=3and y=2

Answers

x = 3

y = 2

[tex](x-2y)^2 = (3-(2*2))^2 = (3-4)^2 = (-1)^2 = -1*-1 = 1[/tex]

Hence, the answer is 1.

To evaluate the expression (x-2y)² where x=3 and y=2, substitute the values of x and y into the expression and simplify.

To evaluate the expression (x-2y)² where x=3 and y=2, we substitute the values of x and y into the expression.

Substituting x=3 and y=2 into the expression, we get (3-2*2)².

Solving this expression, we have (3-4)^2 which simplifies to (-1)².

Finally, (-1)² equals 1.

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A stadium has 20,000 reserved seats and 25,000 general admission seats. If reserved seats are $17.50 and general admission seats are $10.75, how much money would be taken in if tickets for all the seats were sold?

Answers

Reserved seats -
20,000 multiplied by $17.50 is $350,000

General seats - 
25,000 multiplied by 10.75 is $268,750

$268,750 added with $350,000 is $618,750.

The total amount of money would be $618,750.

Hope this helps!

If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?

Which of the following proportions could not be used to solve the problem?

a: 14/1.8=x/4
b: x/14=1.8/4
c: x/1.8=14/4

Answers

Answer: [tex]\frac{x}{14}=\frac{1.8}{4}[/tex]

Step-by-step explanation:

Let 'x' be the height of tree.

The length of shadow of a tree = 14 m

The length of shadow of a person =4 m

The height of person = 1.8 m

Since both man and tree are standing vertical to the ground.

Assume the formation of shadow is happening at the same time then the angle that the sun hits the earth making shadows of both person and tree will be equal.

By direct proportion , we have

[tex]\frac{\text{height of tree}}{\text{length of shadow of tree }}=\frac{\text{height of person}}{\text{length of shadow of person}}\\\\\Rightarrow\frac{x}{14}=\frac{1.8}{4}[/tex]

The correct answer would be:

14/1.8 = x/4

I just finished with that assignment and it said it was correct :-)

Monique Fournier deposited $12,500 into a savings account paying 6.5% annual interest compounded monthly. What amount will she have in her account after 3 years

Answers

Use the compound interest formula to determine what she will have in her account in three years:

A = P(1 + r/n)^nt

A (Amount)
P (Principal)
r (Interest rate)
n (Times per year the interest is compounded)
nt (time in years)


A = 12500(1 + 0.065/12)^3(12)

A = 12500(1.005)^3(12)

A = 12500(1.005)(^36)

A = 12500(1.20)

A = 15,000

Hope I helped :)

Follow below steps;

Monique Fournier wants to find out how much her $12,500 savings account, with an annual interest rate of 6.5% compounded monthly, will grow to after 3 years. To calculate the future value of this investment, we can use the compound interest formula:

FV = P times (1 + r/n)^(nt)

Where:

FV is the future value of the investmentP is the principal amount ($12,500)r is the annual interest rate (6.5% or 0.065 as a decimal)n is the number of times interest is compounded per year (12, since it's compounded monthly)t is the number of years the money is invested (3 years)

Plugging the numbers into the formula gives us:

FV = $12,500 times (1 + 0.065/12)^(12  imes 3)

After calculating, Monique's account balance after 3 years will be:

FV = $12,500 times (1 + 0.0054167)^(36)

FV = $12,500 times 1.0054167^36

FV ≈ $12,500 times 1.214669

FV ≈ $15,183.36

After 3 years, Monique Fournier will have approximately $15,183.36 in her savings account

linear or nonlinear x-3y=10

Answers

non linear because based on the statement is shown is linear equations in two variables ok ........

Use a table to compute the product below. (8x2 - 2x - 5)(2x + 7)   A. 16x3 + 60x2 - 24x - 35   B. 16x3 - 52x2 + 24x + 35   C. 16x3 + 52x2 - 35   D. 16x3 + 52x2 - 24x - 35                                              its D but thx yall bc you guys don't know how to help!!!

Answers

16x^3. - 4x^2 -10x +56x^2 - 14x - 35
16x^3+52x^2-24x-35
the answer is d


The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?

Answers

The name of the polygon is an Octdecagon, or in other words, a 18-sided polygon. You find the total angles of a polygon by the formula (n - 2) * 180. What I did in this case to find the number of sides, was that I divided 2,880 by 180. My quotient was 16. Then, I added 2 in order to get 18. I did the reverse by doing (18 - 2) * 180 to check my answer, and it equaled 2,880.

Name a pair of whole number factors whose product is 8

Answers

"Factors" just means numbers in the context of multiplication - so we just need to name a pair of numbers that, when multiplied, give 8.

Those would be: 1 and 8

2 and 4

so there are two solution to this question: 1 and 8, 2 and 4!

we can also include negative numbers:

-1 and -8
-2 and -4

because a multiplication of two negative numbers gives a positive result!
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