Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.2 - Basics of Functions and Their Graphs - Exercise Set: 28

Answer

(a) $f(4)=19$ (b) $f(x+1)= 3x+10$ (c) $f(-x) = -3x+7$

Work Step by Step

RECALL: $f(a)$ represents the value of the function $f$ when $x=a$. Evaluate the function by substituting the given value of $x$. (a) Substitute $4$ into $x$ to obtain: $f(4) = 3(4) + 7 \\f(4)=12+7 \\f(4)=19$ (b) Substitute $x+1$ into $x$ to obtain: $f(x+1) = 3(x+1)+7 \\f(x+1)= 3x+3+7 \\f(x+1)= 3x+10$ (c) Substitute $-x$ into $x$ to obtain: $f(-x) = 3(-x) + 7 \\f(-x) = -3x+7$
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