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Alg2 lesson 7-8
- 1. inversefunctionf(x) = {(1, 4), (2, 6), (5, 3)} f -1(x) = {(4, 1), (6, 2), (3, 5)} Domain: {1, 2, 5} Domain : {4, 6, 3}Range : {4, 6, 3} Range: {1, 2, 5}f(2) = 6 f -1(4) =1f(1) = 4 f -1(6) = 2f(5) = 3 f -1(3) = 5Domain Range125463f -1 ( f (x) ) = xf ( f -1 (x) ) = x
- 2. {(6, 3), (6, 0), (1, 0)}If f(x) = , find f -1(x){ (3, 6), (0, 6), (0, 1)}y = xA function and its inverse are reflections of each other across the line y = x
- 3. Find the inverse ofReplace f(x) with ySwap x and y( ) ( ) 2 2Solve for y2x = -y + 2Replace y with f-1 (x) Example 8-2a
- 4. Graph the function and its inverse.y = xExample 8-2d
- 5. Find the inverse ofyx3 3( ) ( )y3x = y + 18y = 3x - 18f -1(x) = 3x - 18Example 8-2f
- 6. f -1(x) = 3x - 18Show that and are inversesf(f -1(x)) = f(3x – 18) = ⅓(3x – 18) + 6 = x – 6 + 6 = xf -1(f(x)) = f-1 (⅓ x + 6) = 3(⅓ x + 6) – 18 = x + 18 – 18 = xExample 8-2f
- 7. Determine whether and are inverse functions.Example 8-3a