Question

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

Answer 1

Answer:

$f^{_ -1}(x) = \frac{x + 2}{3}$  

Step-by-step 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

                        $y = \frac{x }{3} + \frac{2}{3}$

                        $y = \frac{x + 2}{3}$

4. Replace y with f⁻¹(x)

                        $f^{_ -1}(x) = \frac{x + 2}{3}$