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Use the graph to evaluate the following expressions. (a) (fog)(1) (b) (g of)(2) (c) (go g)(0) (a) Evaluate (fog)(1). (fog)(1) = (b) Evaluate (gof)(2). (gof)(2)= (c) Evaluate (go g)(0). (gog)(0) = C -A 181+1 4- 2 -2 2 4 +6 tot -104 OTRO y dixit 1(k) O o ↑ N

Use the graph to evaluate the following expressions. (a) (fog)(1) (b) (g of)(2) (c) (go g)(0) (a) Evaluate (fog)(1). (fog)(1) = (b) Evaluate (gof)(2). (gof)(2)= (c) Evaluate (go g)(0). (gog)(0) = C -A 181+1 4- 2 -2 2 4 +6 tot -104 OTRO y dixit 1(k) O o ↑ N

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the graph to evaluate the following expressions. (a) \( (f \circ g)(1) \) (b) \( (g \circ f)(2) \) (c) \( (g \circ g)(0) \) --- **(a)** Evaluate \( (f \circ g)(1) \). \( (f \circ g)(1) = \, \_\_\_\_\_\_\ \) **(b)** Evaluate \( (g \circ f)(2) \). \( (g \circ f)(2) = \, \_\_\_\_\_\_\ \) **(c)** Evaluate \( (g \circ g)(0) \). \( (g \circ g)(0) = \, \_\_\_\_\_\_\ \) ### Graph Details The provided graph includes two functions: - **\( f(x) \)** is represented by a red line with a positive linear slope. - **\( g(x) \)** is depicted by a blue curve, which is a parabola opening downwards. The x-axis and y-axis are labeled, with ticks marked at each integer value to provide reference points for evaluating the functions. The red line and blue curve intersect at several points, which can be used for determining composite function values in the exercises.
Transcribed Image Text:Use the graph to evaluate the following expressions. (a) \( (f \circ g)(1) \) (b) \( (g \circ f)(2) \) (c) \( (g \circ g)(0) \) --- **(a)** Evaluate \( (f \circ g)(1) \). \( (f \circ g)(1) = \, \_\_\_\_\_\_\ \) **(b)** Evaluate \( (g \circ f)(2) \). \( (g \circ f)(2) = \, \_\_\_\_\_\_\ \) **(c)** Evaluate \( (g \circ g)(0) \). \( (g \circ g)(0) = \, \_\_\_\_\_\_\ \) ### Graph Details The provided graph includes two functions: - **\( f(x) \)** is represented by a red line with a positive linear slope. - **\( g(x) \)** is depicted by a blue curve, which is a parabola opening downwards. The x-axis and y-axis are labeled, with ticks marked at each integer value to provide reference points for evaluating the functions. The red line and blue curve intersect at several points, which can be used for determining composite function values in the exercises.
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