Option D:
is the inverse of the function f(x) = 4x
Step-by-step explanation:
Given that the function is

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,

Interchanging the variables x and y, we have;

Dividing both sides by 4, we get;

Thus, the inverse of the function is

Hence, Option D is the correct answer.