For the function f(x) = 5x3 – 6, find f-1(x).

Please help 20 points !

C

Step-by-step explanation:

We are given the function:

And we want to find its inverse.

In order to find the inverse of a function, we take the following steps:

1) Switch the independent variable x with the dependent variable y.

2) Solve for the dependent variable y.

We have:

Switching the two variables:

Solve for y. We will add 6 to both sides:

Dividing both sides by 5:

And taking the cube root of both sides:

Thus:

Our answer is C.

the answer for this question is 38