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Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 1-4 - Problem 3
Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 1-4 - Problem 3

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# Two Linear Functions 1: Let f and g be defined by f(x) = 9 x 4 x 8 g(x) = x + 2 1 x 5 ISBN: 9781559533911 468

## Solution for problem 3 Chapter 1-4

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 3

Two Linear Functions 1: Let f and g be defined by f(x) = 9 x 4 x 8 g(x) = x + 2 1 x 5 Figure 1-4f a. The graphs of f and g are shown in Figure 1-4f. Plot these graphs on your grapher, making sure they agree with the figure. On the same screen, plot the graphs of y = f(g(x)) and y = g(f(x)). Sketch the graphs, showing the domains of each. You may use a copy of Figure 1-4f. b. Find f(g(3)). Show on your sketch from part a the two steps by which you can find this value directly from the graphs of f and g. c. Explain why f(g(6)) is undefined. Explain why f(g(1)) is undefined, even though g(1) is defined. d. Find an equation for f(g(x)) explicitly in terms of x. Simplify as much as possible. e. Find the domains of both f g and g f algebraically. Do they agree with your graphs in part a? f. Find the range of f g algebraically. Does it agree with your graph in part a? g. Find f(f(5)). Explain why g(g(5)) is undefined.

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##### ISBN: 9781559533911

The full step-by-step solution to problem: 3 from chapter: 1-4 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. Since the solution to 3 from 1-4 chapter was answered, more than 234 students have viewed the full step-by-step answer. The answer to “Two Linear Functions 1: Let f and g be defined by f(x) = 9 x 4 x 8 g(x) = x + 2 1 x 5 Figure 1-4f a. The graphs of f and g are shown in Figure 1-4f. Plot these graphs on your grapher, making sure they agree with the figure. On the same screen, plot the graphs of y = f(g(x)) and y = g(f(x)). Sketch the graphs, showing the domains of each. You may use a copy of Figure 1-4f. b. Find f(g(3)). Show on your sketch from part a the two steps by which you can find this value directly from the graphs of f and g. c. Explain why f(g(6)) is undefined. Explain why f(g(1)) is undefined, even though g(1) is defined. d. Find an equation for f(g(x)) explicitly in terms of x. Simplify as much as possible. e. Find the domains of both f g and g f algebraically. Do they agree with your graphs in part a? f. Find the range of f g algebraically. Does it agree with your graph in part a? g. Find f(f(5)). Explain why g(g(5)) is undefined.” is broken down into a number of easy to follow steps, and 190 words. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911.

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