Question

Find the inverse (pre-calc)

Answer 1

f^(-1)(x) = e^(x/3)

Explanation:

1. Replace 'f(x)' by 'y:' y = 3ln x

2. Interchange x and y: x = 3ln y => x/3 = ln y

3. Solve for y:

e^(x/3) = y

4. Replace this 'y' with 'f^(-1)(x)'

Then f^(-1)(x) = e^(x/3)