Find the inverse for each relation. 1. {(1, -3), (-2, 3), (5, 1), (6,4)} 2. {...
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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. y = 3x + 2 4. y = -5x -7 y = 12x-3 3. 6. 9. 12. 15. 18. y = -8x + 16 5 y=-x+10 8 y = x² - 4 y=√x-2, yz0 y=√x-7, y ≥-7 7. 10. y 13. y 16. 23 -x-5 2 X +8 y = (x +3)² y = √x +5, y ≥0 5. 8. 11. 14. 17. y 3 4 X+5 y = x² +5 y = (x-6)² y=√x + 8, y ≥8 Verify that fand g are inverse functions. 19. f(x)=x+6, g(x)=x-6 21. f(x)=-3x-9, g(x)=x-3 X-3 22. 23. f(x)=-4x+8, g(x): == 1 20. 4 x + 2 24. X-2 f(x) = 5x+2, g(x)=- f(x)=2x-7, g(x)= LO 5 X +7 2 f(x)=x-7, g(x)= 2x+14 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. y = 3x + 2 4. y = -5x -7 y = 12x-3 3. 6. 9. 12. 15. 18. y = -8x + 16 5 y=-x+10 8 y = x² - 4 y=√x-2, yz0 y=√x-7, y ≥-7 7. 10. y 13. y 16. 23 -x-5 2 X +8 y = (x +3)² y = √x +5, y ≥0 5. 8. 11. 14. 17. y 3 4 X+5 y = x² +5 y = (x-6)² y=√x + 8, y ≥8 Verify that fand g are inverse functions. 19. f(x)=x+6, g(x)=x-6 21. f(x)=-3x-9, g(x)=x-3 X-3 22. 23. f(x)=-4x+8, g(x): == 1 20. 4 x + 2 24. X-2 f(x) = 5x+2, g(x)=- f(x)=2x-7, g(x)= LO 5 X +7 2 f(x)=x-7, g(x)= 2x+14
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