Question

If f(x) = (x - 2)/2, find f -1(x).f -1(x) = 2x + 2f -1(x) = 2xf -1(x) = x + 2f -1(x) = x/2

Answer 1

Answer:

$f^{-1}(x)=2x+2$

Explanation:

Given the function:

$f(x)=\frac{x-2}{2}$

To find the inverse function, follow the steps below:

Step 1: Replace f(x) with y.

$y=\frac{x-2}{2}$

Step 2: Swap x and y.

$x=\frac{y-2}{2}$

Step 3: Make y the subject.

$\begin{gathered} y-2=2x \\ y=2x+2 \end{gathered}$

Step 4: Replace y with the inverse function.

$f^{-1}(x)=2x+2$

The inverse function is:

$f^{-1}(x)=2x+2$

The first option is correct.