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MATHEMATICAL APPLICATIONS FOR THE MGT
- 2. Let P(t) represent the population of Los Angeles t years after 1900. (a) Interpret P(10) = 319, 198 in words. P(10) - Р(0) (b) Given that P(0) = 102, 479 and P(10) = 319, 198, calculate and interpret 10 – 0 in words. (c) of Los Angeles reached 200,000. Set up an equation that could be used to find how many years after 1900 the populationarrow_forwardIf h(x) = 8x – 3, find 3[h(x)]² – 7 -arrow_forward3. Let f(x) = x2 + x + 3, g(x) = 5x +3 and h(x) = 2x2 – 4x + 1. Find the following: d. (fo h)(-5y) e. (goh)(z3) f. (h o f)(3x2 – 4) g. g(-g(x))arrow_forward
- If h(x) = 4x – 3, what is an equation for h-1(x)? A. h-1(x) = 3x + 4 B. h-1(x) = 3x – 4 C. h-1) = x+ 3 4 h-1Q = x - 3arrow_forwardIn Problems 27–36, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) any values of x that need to be excluded. = x. Give 27. f(x) = 3x + 4; g(x) = (x- 4) 28. f(x) = 3 – 2x; g(x) = -(x – 3) 29. f(x) = 4x – 8; 8(x) = + 2 30. f(x) = 2x + 6; 8(x) = ;x - 3 31. f(x) = x' - 8; g(x)· Vx + 8 32. f(x) = (x – 2)², 2; g(x) = Vĩ + 2 33. f(x) = ; 8(x) = 34. f(x) = x; g(x) x - 5 2x + 3' 2x + 3 4x - 3 3x + 5 35. f(x) *: 8(x) = 8(x) 36. f(x) = 1- 2x x + 4 2 - x 1.7 82 CHAPTER 1 Graphs and Functions In Problems 37-42, the graph of a one-to-one function f is given. Draw the graph of the inverse function f"1. For convenience (and as a hint), the graph of y = x is also given. 37. y= X 38. 39. y =X 3 (1, 2), (0, 1) (-1,0) (2. ) (2, 1) (1, 0) 3 X (0, -1) -3 (-1, -1) 3 X -3 (-2, -2) (-2, -2) -하 -하 -하 40. 41. y = x 42. y = X (-2, 1). -3 3 X (1, -1)arrow_forwardIf f(x) = x2 – 9x and g(x) = x + 8, evaluate each of the following. (a) (f o g)(3)= (b) (go f)(3)=arrow_forward
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