Question

Could someone please help me with this problem? I'm having trouble understanding how to do it.
Find f^-1 for the function

Answer 1

Just this prob, or in general what to do?

Answer 2

\[\large y=f(x)=(x-2)^{1/3}+8\]

change y and x around, solve for y to get the inverse f^-1

\[\large x = (y-2)^{1/3}+8\]

Answer 3

When you graph both, they should be a reflection of each other over the line y=x

Answer 4

(x - 8)^3 + 2 = y = f^-1(x)

Answer 5

a) subtract 8
b) cube both sides
c) add 2