Answer:
- f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]
Step-by-step explanation:
Find the inverse of f(x) = x² - 3
Substitute x with y and f(x) with x and solve for y:
- x = y² - 3
- y² = x + 3
- [tex]\sqrt{y^2}[/tex] = [tex]\sqrt{x + 3}[/tex]
- y = [tex]\sqrt{x + 3}[/tex]
Replace y with f⁻¹(x):
- f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]
