Question

If f(x) = 3x - 2, find f-'(x)

Answer 1

f⁻¹(x) = (x + 2)/3

Explanation:

I'm going to assume the question is asking for the inverse. If that is the case, you want to switch x and y in the equation and solve for y.

f(x) = 3x - 2

x = 3f(x) - 2

x + 2 = 3f(x)

(x + 2)/3 = f⁻¹(x)

Therefore, the inverse is f⁻¹(x) = (x + 2)/3.