Question

In Exercise,find the inverse function of
f(x) = 3x + 2

Answer 1

`f^(_ -1)(x) = (x + 2)/(3)`

Explanation:

Given function f(x) = 3x + 2

The inverse of f(x) is f⁻¹(x)

Follow the steps below to solve for f⁻¹(x).

1. Replace function f(x) with function y in the given equation

y = 3x + 2

2. Interchange the variables

x = 3y - 2

3. Solve for y

3y = x + 2

`y = (x )/(3) + (2)/(3)`

`y = (x + 2)/(3)`

4. Replace y with f⁻¹(x)

`f^(_ -1)(x) = (x + 2)/(3)`