Chapter 4.1, Problem 33E

Exercises 135 and 136: Find f(x) = a(x – h) + k so that f models the data exactly. 135. 2 3 5-1-3-1 5 136. * -2-1 2 4 2 -4 -14 2.

Given that f(x) = x² + 1, g(x) = the domain of each function in Exercises 21-29. Then find an equation for the function and calculate its value at x = 1. and h(x) = Jx, find X- 2 x 2' 21. (f+g)(x) 22. (3fh)(x) 23. () 24. (gof )(x) 25. (gog)(x) 26. (gohof)(x) 27. g(x – 5) 28. h(3x) + 1 29. h(Зx + 1)

In Exercises 7-10, evaluate each function at the given values of the independent variable and simplify. 7. f(x) = 5-7x a. f(4) b. f(x + 3) c. f(-x) 8. g(x) = 3x²5x+2 a. g (0) b. g (-2) c. g(x - 1) d. g (-x) 9. g(x) = [√x-4 4-x a. g (13) b. g (0) c. g (-3) 10. f(x) = x² - 1 1 x 12 a. f(-2) b. f(1) c. f(2) if x ≥ 4 if x < 4 if x #1 if x = 1