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

`f^(-1)(x)=2x+2`

Explanation:

Given the function:

`f(x)=(x-2)/(2)`

To find the inverse function, follow the steps below:

Step 1: Replace f(x) with y.

`y=(x-2)/(2)`

Step 2: Swap x and y.

`x=(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.