Please find the inverse of this cubic function:

Question

y = 5x^5

Make sure to show step by step work

Answer 1

To find the inverse of the function y = 5x^5, we will first replace y with x and x with y, and then solve for y.

So the original function becomes:

x = 5y^5

Next, we isolate y:

x/5 = y^5

Now, we need to find the fifth root of both sides to solve for y:

y = (x/5)^(1/5)

Therefore, the inverse of the function y = 5x^5 is:

f^(-1)(x) = (x/5)^(1/5)