Chapter 4.1, Problem 37E

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

In Exercises 27-34, let f(x) = x? – 2x and g(x) = x – 5. Find each of the following. 27. (f + g)(x) and (f + g)(-2) 28. f(3) + g(3) 29. (f - g)(x) and (f - g)(1) 30. f(4) – g(4) 31. (fg)(-3) 32. ()u) und ()e) (4) 33. The domain of f - g 34. The domain of -

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.