what is the inverse of the function f(x) = 2x + 1

the inverse of the function [tex]\( f(x) = 2x + 1 \)[/tex] is [tex]\( f^{-1}(x) = \frac{x - 1}{2} \).[/tex]

To find the inverse of the function [tex]\( f(x) = 2x + 1 \)[/tex], we'll switch the roles of [tex]\( x \)[/tex]  and [tex]\( y \)[/tex] and solve for [tex]\( y \)[/tex].

1. Start with the original function:

  [tex]\[ f(x) = 2x + 1 \][/tex]

2. Swap [tex]\( x \)[/tex] and [tex]\( y \)[/tex]:

  [tex]\[ x = 2y + 1 \][/tex]

3. Solve for [tex]\( y \)[/tex]:

  [tex]\[ x - 1 = 2y \][/tex]

  [tex]\[ \frac{x - 1}{2} = y \][/tex]

So, the inverse function [tex]\( f^{-1}(x) \)[/tex] is:

  [tex]\[ f^{-1}(x) = \frac{x - 1}{2} \][/tex]

Therefore, the inverse of the function [tex]\( f(x) = 2x + 1 \)[/tex] is [tex]\( f^{-1}(x) = \frac{x - 1}{2} \).[/tex]

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PLZ NEED HELP

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NEED ANSWER NOW! Worth LOTS OF POINTS!!!
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