Question

Use f(x) = 2 x and f-'(x) = 2x to solve the problems.

f2) = 0


f(1) =


f'(2)) =


DONE

Answer 1

`f(2) = 1`

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

`f^(-1)(2)=4`

Explanation:

Consider the provided functions.

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

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

Find f(2) as shown.

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

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

`f(2) = 1`

Find f(1) as shown.

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

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

Find f'(2) as shown.

Substitute x=2 in
`f^(-1)(x)=2x`

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

`f^(-1)(2)=4`