Please find the inverse of this cubic function:
y = 5x^5
Make sure to show step by step work
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)