Answer:
The answer to your question is f⁻¹(x) = [tex]\frac{1}{2} x - \frac{3}{2}[/tex]
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
[tex]\frac{1}{2} x - \frac{3}{2} = y[/tex]
4.- Write f⁻¹(x) instead of y
f⁻¹(x) = [tex]\frac{1}{2} x - \frac{3}{2}[/tex]
