Question

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

Answer 1

Option D: $h(x)=\frac{1}{4}x$ is the inverse of the function f(x) = 4x

Explanation:

Given that the function is $f(x)=4x$

We need to determine the inverse of the function.

Inverse of the function h(x):

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.

Thus, the function is written as,

$y=4x$

Interchanging the variables x and y, we have;

$x=4y$

Dividing both sides by 4, we get;

$\frac{1}{4}x=y$

Thus, the inverse of the function is $h(x)=\frac{1}{4}x$

Hence, Option D is the correct answer.