Determine if fx) has an inverse, if yes, find f'(x). State any restrictions in the domain. 48. f(x) = Vx-7+2 49. f(x) = 2 x + 5|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Please help me with these precal math problems!

Determine if f(x) has an inverse, if yes, find f'(x). State any restrictions in the domain.
48. f(x) = x-7+2
49. f(x) = 2|x+5|
50. /(x) — 4x? -7;х 20
x- 6
51. f(x) =
x+5
Prove f(x) and g(x) are inverses both algebraically and graphically.
4
52. f(x) =
2
4
g(x) =
x +2
%3D
3
53. f(x) =|x
- 3
g(x) = 2x+3
%3D
Transcribed Image Text:Determine if f(x) has an inverse, if yes, find f'(x). State any restrictions in the domain. 48. f(x) = x-7+2 49. f(x) = 2|x+5| 50. /(x) — 4x? -7;х 20 x- 6 51. f(x) = x+5 Prove f(x) and g(x) are inverses both algebraically and graphically. 4 52. f(x) = 2 4 g(x) = x +2 %3D 3 53. f(x) =|x - 3 g(x) = 2x+3 %3D
Use f(x) = -x² – 2x, g(x) = Vx+7, and h(x) = 3x –1 to find each function below. Give the
%3D
domain for each.
37. (ho f)(x)
38. (f °g)(x)
39. (f oh)(x)
Given h(x) below, find two functions, fand g, such that (f • g)(x) = h(x).
40. h(x) =
5
41. h(x) = -/2(x+5) +7
-2
x- 9
Use f(x) = |10-2x|, g(x)= 2x -3, and h(x) =:
1
x + 5 to evaluate each function below.
2
42. (g - f)(15)
44. (g oh)(-6)
h
43.
|(-12)
Topic 7: Inverse Functions
Determine if the graph represents a one-to-one function.
45.
4 fix)
46.
47.
Transcribed Image Text:Use f(x) = -x² – 2x, g(x) = Vx+7, and h(x) = 3x –1 to find each function below. Give the %3D domain for each. 37. (ho f)(x) 38. (f °g)(x) 39. (f oh)(x) Given h(x) below, find two functions, fand g, such that (f • g)(x) = h(x). 40. h(x) = 5 41. h(x) = -/2(x+5) +7 -2 x- 9 Use f(x) = |10-2x|, g(x)= 2x -3, and h(x) =: 1 x + 5 to evaluate each function below. 2 42. (g - f)(15) 44. (g oh)(-6) h 43. |(-12) Topic 7: Inverse Functions Determine if the graph represents a one-to-one function. 45. 4 fix) 46. 47.
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