Question

Use f(x) = 1 2 x and f -1(x) = 2x to solve the problems. In general, f−1(f(x)) = f(f−1(x)) =

Answer 1

the answer is, x

Explanation:

edge 2020

Answer 2

`{f}^( - 1)( f(x)) = f( {f}^( - 1) ( x)) = x`

EXPLANATION

The given functions are;

`f(x) = (1)/(2) x`

`{f}^( - 1) (x) = 2x`

`f( {f}^( - 1) (x)) = f(2x)`

`f( {f}^( - 1) (x)) = (1)/(2) * 2x = x`

Also,

`{f}^( - 1)( f(x)) = {f}^( - 1) ( (1)/(2) x)`

`{f}^( - 1)( f(x)) = 2 * (1)/(2) x = x`

In general,

`{f}^( - 1)( f(x)) = f( {f}^( - 1) ( x)) = x`