Question

Which function is the inverse of

Answer 1

Answer:

The answer to your question is    f⁻¹(x) = $\frac{1}{2} x - \frac{3}{2}$

Step-by-step explanation:

Function

                                    f(x) = 2x + 3

Process

1.- Instead of f(x) write y

                                    y = 2x + 3

2.- Interchange the variables

                                    x = 2y + 3

3.- Solve for y

- Subtract 3 in both sides

                                    x - 3 = 2y + 3 - 3

                                    x - 3 = 2y

- Divide by 2

                                  $\frac{1}{2} x - \frac{3}{2} = y$

4.- Write f⁻¹(x) instead of y

                                 f⁻¹(x) = $\frac{1}{2} x - \frac{3}{2}$