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Homework 9

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HW 9

1.

X = 5y + 8

X – 8 = 5y

F^-1(x) = 1/5 x – 8/5

2.

X = y^2 + 3

Y = sqrt(x-3)

F^-1(x) = sqrt(x-3)

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3. Sketch the inverse.

Upper left

4. Sketch the inverse

Lower left

5. Verify that functions are inverse

b. Graph: bottom left

6. Have an inverse function? No

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HW 9 1. X = 5y + 8 X – 8 = 5y F^-1(x) = 1/5 x – 8/5 2. X = y^2 + 3 Y = sqrt(x-3) F^-1(x) = sqrt(x-3) 3. Sketch the inverse. Upper left 4. Sketch the inverse Lower left 5. Verify that functions are inverse b. Graph: bottom left 6. Have an inverse function? No 7. Have an inverse function? Yes 8. Find and graph the inverse. X = y^5 – 1 X+1 = y^5 F^-1(x) = 5rt(x+1) b. graph lower left c. The graph of f^-1 is the reflection of in the line y = x d. Domain: (-inf, inf), range (-inf,inf) for both f and f^-1 9. Find the inverse. F^-1(x) = -sqrt(x+3) b. Graph in the upper right c. The graph of f^-1 is the reflection of in the line y = x d. f: Domain: [0,-inf) Range: [-3,inf) F^-1 Domain: [-3,inf) Range: [0,inf) 10. Find the inverse: X = (y+1)/(y-4) Xy-4x = y + 1 Xy – y = 4x + 1 Y(x-1) = 4x+1 F^-1(x) = y = (4x+1)/(x-1) b. Graph: upper left c. The graph of f^-1 is the reflection of in the line y = x d. f: domain: (-inf,4)U(4,inf) Range (-inf, 1) U (1,inf) F^-1: domain: (-inf, 1) U (1,inf) Range: (-inf,4)U(4,inf) Name: Homework 9 Description: c. The graph of f^-1 is the reflection of in the line y = x d. Domain: (-inf, inf), range (-inf,inf) for both f and f^-1 ...
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