Chapter 5: Q. 1 (page 348)

Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure.
(a) (g o f)(-8)
(b) (fog)(-8)
(c) (g o g)(7)
(d) (g o f)(-5)

Short Answer

Expert verified

(a) -4

(b) 1

(d) -6

Step by step solution

Given Information

Graph of two functions are given

Part(a) : Step (1) : composition of functions

$(g o f) (- 8) g (f (- 8)) f r o m t h e g r a p h f (- 8) f (- 8) = 2 g (f (- 8)) = f (2) = - 4 g (f (- 8)) = - 4$

Part (b): Step 1: composition of function

$(f o g) (- 8) f (g (- 8)) f r o m t h e g r a p h g (- 8) = - 2 f (g (- 8)) = f (- 2) = 1 (f o g) (- 8) = 1$

Part(c) : Step 1 : composition of functions

$(g o g) (7) g (g (7)) = g (0) = - 6 (g o g) (7) = - 6$

Part(d): Step 1: composition of functions

$(g o f) (- 5) g (f (- 5)) t h e v a l u e o f f (- 5) i s 4 g (f (- 5)) = g (4) = - 6 (g o f) (- 5) = - 6$

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Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure.
(a) (g o f)(-8)
(b) (fog)(-8)
(c) (g o g)(7)
(d) (g o f)(-5)

Short Answer

Step by step solution

Given Information

Part(a) : Step (1) : composition of functions

Part (b): Step 1: composition of function

Part(c) : Step 1 : composition of functions

Part(d): Step 1: composition of functions

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Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure.(a) (g o f)(-8)(b) (fog)(-8)(c) (g o g)(7)(d) (g o f)(-5)

Short Answer

Step by step solution

Given Information

Part(a) : Step (1) : composition of functions

Part (b): Step 1: composition of function

Part(c) : Step 1 : composition of functions

Part(d): Step 1: composition of functions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Geometry

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Calculus

Study anywhere. Anytime. Across all devices.

Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure.
(a) (g o f)(-8)
(b) (fog)(-8)
(c) (g o g)(7)
(d) (g o f)(-5)