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Hw 16 Fraction Inequalities, Inverse Functions

Homework which would help prepare for the exam. (It is pretty short fo...

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College Algebra (MATH 8)

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San José State University

Academic year: 2017/2018

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SJSU Math 08 Homework 16: Fraction Inequalities and Inverse Functions 1. Which values of x will satisfy this statement: Oct 30th 4 1 Hint: when it comes to underline vs. think: is this endpoint a valid answer? If unsure, try plugging in the endpoint and checking whether it works. (a) 1 x 5 (b) 1 x 5 (c) 1 x 5 (d) x 1 or 5 x 2. For what values of x is the following statement true? 4 (a) 5 x 15 (b) x 5 or 15 x (c) x 5 (d) x or 5 x 3. For what values of x is the following statement true? (a) x or 6 x (b) x or 6 x (c) x or 6 x (d) x or x 6 4. Which x values meet this criteria? 1 1 x (a) x 0 (b) x or 0 x (c) x or 3 x (d) x 3 Page 1 of 7 5 3 SJSU Math 08 Homework 16: Fraction Inequalities and Inverse Functions 5. Which x values meet this criteria? 2x x (a) x or x (b) x or 0 x (c) x or 0 x (d) x or x 0 6. Find the inverse function of f (x) 2(x 1) 4. (a) f (y) ( 2 (b) f (y) ( 2 (c) f (y) ( y2 4) 1 (d) f (y) ( y2 1) 4 7. Find the inverse function of f (x) . 4 (a) f (y) (4y 1)2 2 (b) f (y) (4y 2)2 1 (c) f (y) 4(y 1)2 2 (d) f (y) 4(y 2)2 1 3 8. Find the inverse function of f (x) (a) f (y) 3 3 (b) f (y) (c) f (y) 3 (d) f (y) 3 Page 2 of 7 Oct 30th SJSU Math 08 Homework 16: Fraction Inequalities and Inverse Functions For questions let f (x) 3 x 2 2. 10. Graph f (x). A graph of 3 x is provided for reference (this graph on the right). Use m, h, k to draw the given function. (a) (b) (c) (d) Page 4 of 7 Oct 30th SJSU Math 08 Homework 16: Fraction Inequalities and Inverse Functions Oct 30th 11. Determine the domain of f (x). (a) x 1 (b) x 2 (c) 1 x 3 (d) x (c) 1 y 3 (d) y 12. Determine the range of f (x). (a) y 1 (b) y 2 13. Find the inverse function x f (y). (a) x 3 (b) x (c) x (y 2)3 2 3 (d) x (y 2)3 2 14. Graph f (x). (a) (b) (c) (d) 15. Determine the domain of f (x). (a) x 1 (b) x 2 (c) 1 x 3 (d) x (c) 1 y 3 (d) y 16. Determine the range of f (x). (a) y 1 (b) y 2 Page 5 of 7 SJSU Math 08 Homework 16: Fraction Inequalities and Inverse Functions Oct 30th 18. Determine the domain of f (x). (a) x 0 (b) 0 x (c) x (d) x (c) y (d) y 19. Determine the range of f (x). (a) y 0 (b) 0 y 20. Find the inverse function x f (y). (a) x (b) x (c) x (y 2)2 (d) x y 2 2 21. Graph f (x). (a) (b) (c) (d) 22. Determine the domain of f (x). (a) x 0 (b) 0 x (c) x (d) x (c) y (d) y 23. Determine the range of f (x). (a) y 0 (b) 0 y Page 7 of 7

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