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

4x is shorthand for 4*x or "4 times x"

The inverse is the opposite of what is happening. So the opposite of multiplication. Division is the opposite of multiplication.

We will divide both sides by 4 to go from y = 4x to x = y/4

Then swap x and y to get y = x/4 which means the inverse is h(x) = (1/4)x which is what choice D is saying

Choice D