Solutions
Solutions to Try Its
1. 2. Yes 3. Yes 4. The domain of function is and the range of function is . 5. a. . In 60 minutes, 50 miles are traveled. b. . To travel 60 miles, it will take 70 minutes. 6. a. 3; b. 5.6 7. 8. 9.![Graph of f(x) and f^(-1)(x).](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201008/CNX_Precalc_Figure_01_07_0122.jpg)
Solutions to Odd-Numbered Exercises
1. Each output of a function must have exactly one output for the function to be one-to-one. If any horizontal line crosses the graph of a function more than once, that means that -values repeat and the function is not one-to-one. If no horizontal line crosses the graph of the function more than once, then no -values repeat and the function is one-to-one. 3. Yes. For example, is its own inverse. 5. Given a function , solve for in terms of . Interchange the and . Solve the new equation for . The expression for is the inverse, . 7. 9. 11. 13. domain of 15. domain of 17. 19. one-to-one 21. one-to-one 23. not one-to-one 25. 27. 29.![Graph of a square root function and its inverse.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201009/CNX_Precalc_Figure_01_07_2052.jpg)
1 | 4 | 7 | 12 | 16 | |
3 | 6 | 9 | 13 | 14 |
![Graph of a cubic function and its inverse.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201011/CNX_Precalc_Figure_01_07_207.jpg)