WORKSHEET INVERSE FUNCTIONS NAME: ________________________________________ PER: ___ DATE: ______ Inverse Relations Find the inverse for each relation. 1. { (1, -3), (-2, 3), (5, 1), (6, 4) } 2. { (-5, 7), (-6, -8), (1, -2), (10, 3) } Finding Inverses Find an equation for the inverse for each of the following relations. 3. y 3x 2   4. 5. y 7 y 12x 3  5x    6. y 16  8x  y 3 x 5    y 2 x 5   7. 8. 4 3 9. y 5 x 10    y x2 5 y 1 x 8     8 10. 11. 2 12. y x2 4 13. y (x 3)2 14. y (x 6)2       y x 2, y x 5, 15. y 0 16. y 0 17. y x 8, y 8          18. y x 7, y    7 Verifying Inverses: Verify that f and g are inverse functions. 20. g(x) x 6 f(x) 5x 2,     g(x) x 2   19. f(x) x 6,   5 f (x) 9, f(x) 2x 7,  3x    g(x) 1 x 3 g(x) x 7      21. 22. 3 2 f(x) 1 x 7,   f(x) 8,  4x  g(x) 1 x 2    g(x) 2x 14   2 23. 24. 4
WORKSHEET INVERSE FUNCTIONS NAME: ________________________________________ PER: ___ DATE: ______ Inverse Relations Find the inverse for each relation. 1. { (1, -3), (-2, 3), (5, 1), (6, 4) } 2. { (-5, 7), (-6, -8), (1, -2), (10, 3) } Finding Inverses Find an equation for the inverse for each of the following relations. 3. y  3x  2 6. y  8x  16 9. y   5 x  10 8 4. 7. 10. y  5x  7 y  2 x  5 3 y  1 x  8 2 5. 8. 11. y  12x  3 y   3 x  5 4 y  x2  5 12. y  x2  4 13. y  (x  3)2 14. y  (x  6)2 15. y  x  2, y  0 16. y  x  5, y  0 17. y  x  8, y  8 18. y  x  7, y  7 Verifying Inverses: Verify that f and g are inverse functions. 19. f(x)  x  6, g(x)  x  6 20. f(x)  5x  2, g(x)  x  2 5 21. 23. f (x)  3x  9, f(x)  4x  8, g(x)   1 x  3 3 g(x)   1 x  2 4 22. 24. f(x)  2x  7, f(x)  1 x  7, 2 g(x)  x  7 2 g(x)  2x  14
Classwork%20Inverses.docx