Question

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x – 4
h(x) = 3/4x
h(x) = 1/4x

Answer 1

let  y = 4x

x = 1/4 y

f(-1)x = 1/4 x  = h(x)

Its D

Answer 2

Solution:

The inverse of f(x) is h(x)=1/4 x. D is correct.

Explanation:

We have been given the function  f(x) = 4x. In order to find the inverse of the function, we do below steps.

Step 1:

Let the given function f(x) as y

$y=4x$

Step 2:

Switch x and y

$x=4y$

Step 3:

Now, we solve for y

$x=4y\\\text{Divide both sides by 4}\\\\\frac{x}{4} =y$

This is the inverse of the given function. Hence, we have

$f^{-1}(x)=h(x)=x/4=\frac{1}{4}x$