Question

If f(x) = x-2/2, then what is f–1(x) ?
2x + 2

2x – 1

2x – 2

1/2x – 1

Answer 1

First thing you do is replace f(x) with y...\[y = \frac{x-2}{2}\] Switch the x's and y's \[x = \frac{y-2}{2}\] Solve for y\[y = 2x + 2\] replace y with \[f^{-1}(x)\] So the final answer is \[f^{-1}(x) = 2x + 2\]