1. $ f(x) = 3x + 4 $
- Inverse: $ f^{-1}(x) = \frac{x - 4}{3} $
2. $ f(x) = x^3 $
- Inverse: $ f^{-1}(x) = \sqrt[3]{x} $
3. $ f(x) = \frac{6}{x+4} $
- Inverse: $ f^{-1}(x) = \frac{6}{x} - 4 $
4. $ f(x) = \frac{2x-1}{3} $
- Inverse: $ f^{-1}(x) = \frac{3x + 1}{2} $
5. $ f(x) = \frac{1}{x} $
- Inverse: $ f^{-1}(x) = \frac{1}{x} $
6. $ f(x) = 3x - \frac{1}{2} $
- Inverse: $ f^{-1}(x) = \frac{x + \frac{1}{2}}{3} $
7. $ f(x) = \frac{x-1}{x+2} $
- Inverse: $ f^{-1}(x) = \frac{2x + 1}{1 - x} $
8. $ f(x) = 2x + 1 $
- Inverse: $ f^{-1}(x) = \frac{x - 1}{2} $
9. $ f(x) = \frac{2x}{3x-1} $
- Inverse: $ f^{-1}(x) = \frac{x}{3x - 2} $
10. $ f(x) = \frac{1}{x^2} $
- Inverse: $ f^{-1}(x) = \frac{1}{\sqrt{x}} $ (for $ x > 0 $, principal branch)
Parent Tip: Review the logic above to help your child master the concept of pre calculus worksheet.
