Question

If f(x)=5x-13, then f^-1(x)=

Answer 1

f^-1(x) = (x + 13)/5

Explanation:

1. Replace "f(x)" with "y": y = 5x - 13

2. Interchange x and y: x = 5y - 13

3. Solve this result for y:

5y = x + 13, or y = (x + 13)/5

4. Replace "y" with f^-1(x): f^-1(x) = (x + 13)/5