Question

If f(x) = 2x, then f -(x) = Please help

Answer 1

Answer:

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

Step-by-step explanation:

Given

$f(x) = 2x$

Required:

Find $f^{-1}(x)$

$f(x) = 2x$

Replace f(x) with y

$y = 2x$

Swap both variables

$x = 2y$

$2y = x$

Make y the subject

$y= \frac{1}{2}x$

Replace y with f-1(x)

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