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 ) .

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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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

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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).