Question

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

Answer 1

Answer:

$f(2) = 1$

$f(1) = \frac{1}{2}$

$f^{-1}(2)=4$

Step-by-step explanation:

Consider the provided functions.

$f(x) = \frac{1}{2}x$

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

Find f(2) as shown.

Substitute x=2 in $f(x) = \frac{1}{2}x$

$f(2) = \frac{1}{2}\times2$

$f(2) = 1$

Find f(1) as shown.

Substitute x=1 in $f(x) = \frac{1}{2}x$

$f(1) = \frac{1}{2}$

Find f'(2) as shown.

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

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

$f^{-1}(2)=4$