(a) Explanation Definition used: If f and g are functions, then the sum f + g i s the function defined by ( f + g ) ( x ) = f ( x ) + g ( x ) . The domain of f + g consists of the numbers x that are in the domains of both f and g That is, domain of f + g = domain of f ∩ domain of g . Calculation: It is clear that ( 2 , 2 ) is on the graph of function y = f ( x ) . Therefore, for x = 2 the value of f ( x ) is 2 . That is f ( 2 ) = 2 . It is also clear that, ( 2 , 1 ) is on the graph of function y = g ( x ) (b) To determine The value of ( f + g ) ( 4 ) . (c) To determine The value of ( f − g ) ( 6 ) . (d) To determine The value of ( g − f ) ( 6 ) . (e) To determine The value of ( f ⋅ g ) ( 2 ) . (f) To determine The value of ( f g ) ( 4 ) .

11th Edition

ISBN: 9780135163078

Author: Michael Sullivan

Publisher: PEARSON

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Question

Chapter 3.2, Problem 31AYU

(a)

To determine

The value of (f+g)(2).

(b)

To determine

The value of (f+g)(4).

(c)

To determine

The value of (f−g)(6).

(d)

To determine

The value of (g−f)(6).

(e)

To determine

The value of (f⋅g)(2).

(f)

To determine

The value of (fg)(4).

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Chapter 3.2, Problem 30AYU

Chapter 3.2, Problem 32AYU

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