Question

For the function f(x)=8(x+10), find f^-1(x)

Answer 1

In other words, find the inverse of the given function f(x).

1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10

-1
4. Replace "y" with "f (x) "

-1 x-80
f (x) = ---------- (Answer)
8