1. Inverses By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org Last Updated: November 17, 2005

2. Definition Inverse Relation  A relation obtained by switching the coordinates of each ordered pair. Relation  { (1, 4), (4, 6), (-3, 2), (-4, -2), ( -1, 5), (0, 1) } Inverse Relation  { (4, 1), (6, 4), (2, -3), (-2, -4), (5, -1), (1, 0) } Jeff Bivin -- LZHS

3. Definition Inverse Relation  A relation obtained by switching the coordinates of each ordered pair. Jeff Bivin -- LZHS

4. INVERSE RELATIONS Jeff Bivin -- LZHS

5. Relation  { (1, 4), (4, 6), (-3, 2), (-4, -2), (-1,5), (0, 1) } Inverse  { (4, 1), (6, 4), (2, -3), (-2, -4), (5, -1), (1, 0) } Jeff Bivin -- LZHS

6. Inverse  {(-6,-4), (4,1), (6, 2), (0,-1), (3,-4), (-2,4)} Relation  {(-4,-6), (1,4), (2, 6), (-1,0), (-4,3), (4,-2)} Jeff Bivin -- LZHS

7. f(x)= x 2 Jeff Bivin -- LZHS

8. f(x)= x 2 Jeff Bivin -- LZHS

9. G(x) Jeff Bivin -- LZHS

10. G(x) Jeff Bivin -- LZHS

11. G(x) Jeff Bivin -- LZHS

12. G(x) Jeff Bivin -- LZHS

13. f(x)= x 3 Jeff Bivin -- LZHS

14. Find the inverse Jeff Bivin -- LZHS

15. Find the inverse Jeff Bivin -- LZHS

16. Find the inverse Jeff Bivin -- LZHS

17. Inverse functions Two functions, f(x) and g(x), are inverses of each other if and only if: f(g(x)) = x and g(f(x)) = x Jeff Bivin -- LZHS

18. Are these functions inverses? Jeff Bivin -- LZHS

19. Are these functions inverses? Jeff Bivin -- LZHS