Question

Determine f inverse of x given the function f(x) = (x-4)^5 - 10

Answer 1

I know I have to FOIL but is there a faster way to reduce the amount of work?

Answer 2

You don't have to foil.
Plug in x for y and then resolve for y.
x = (y-4)^5 - 10
x + 10 = (y-4)^5\[y - 4 = \sqrt[5]{x + 10}\]
\[y = \sqrt[5]{x + 10} + 4\]

Answer 3

OK, so you took the 5th root of x and didn't foil

Answer 4

@Jackienvdm

Answer 5

Correct. Instead of foiling out the exponent, I took the fifth root of both sides.