7. Find the inverse of f(x) = 4x^3 + 8.

The inverse of is determined to be .

Step-by-step explanation:

In order to find the inverse of a function, we need to know a couple of rules about functions.

Following these rules, our function now becomes .

We now can simplify it further in order to find the value of x.

Therefore, the inverse of is .

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a series of steps.

1. Write the function in the form

2. Swap where the x and y values are

3. Solve for y

4. Convert into form

So first, we can write as .

Now we need to swap where the x and y variables are. This makes our equation .

To find the inverse, we now need to solve for y in this equation.

Therefore, the inverse of this function is .

Hope this helped!