Question

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

O h(x) = x +4
O h(x) = x - 4
O h(x) = 3/4x
O h(x) = 1/4x

Answer 1

h(x)=1/4x

Explanation:

Inverse function is when the domain and range of a function are swapped, or in other words the y and x values are swapped.

To do this you simply change x to y, and y to x in the equation

So we have the original equation

y = 4x

swap y and x

x = 4y

now solve for y by dividing by 4

y = x/4

which can also be expressed as h(x)=1/4x