Explanation Given: The given functions are f ( x ) = x + 4 and g ( x ) = x 2 . Concept used: Substitution of a for x in a function f ( x ) and g ( x ) will give the value of f ( a ) and g ( a ) . Take the value of g ( a ) as a and put it in the function f ( x ) to get the value of f ( g ( a ) ) . Calculation: Let us consider the functions f ( x ) = x + 4 and g ( x ) = x 2 To determine (b) To find the value of g ( f ( 1 ) ) . To determine (c) To find the function f ( g ( x ) ) . To determine (d) To find the function g ( f ( x ) ) . To determine (e) To find the value of f ( t ) ⋅ g ( t ) .

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 1.8, Problem 8P

To determine

(a)

To find the value of f(g(1)).

To determine

(b)

To find the value of g(f(1)).

To determine

(c)

To find the function f(g(x)).

To determine

(d)

To find the function g(f(x)).

To determine

(e)

To find the value of f(t)⋅g(t).

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Chapter 1.8, Problem 7P

Chapter 1.8, Problem 9P

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Chapter 1 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

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(a) To find the value of f ( g ( 1 ) ) .

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(a) To find the value of f(g(1)).

(b) To find the value of g(f(1)).

(c) To find the function f(g(x)).

(d) To find the function g(f(x)).

(e) To find the value of f(t)⋅g(t).

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Chapter 1 Solutions

(a)

To find the value of f(g(1)).

(b)

To find the value of g(f(1)).

(c)

To find the function f(g(x)).

(d)

To find the function g(f(x)).

(e)

To find the value of f(t)⋅g(t).