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: 27

Answer

(a) $f(6)=29$ (b) $f(x+1)= 4x+9$ (c) $f(-x) = -4x+5$

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 $6$ into $x$ to obtain: $f(6) = 4(6) + 5 \\f(6)=24+5 \\f(6)=29$ (b) Substitute $x+1$ into $x$ to obtain: $f(x+1) = 4(x+1)+5 \\f(x+1)= 4x+4+5 \\f(x+1)= 4x+9$ (c) Substitute $-x$ into $x$ to obtain: $f(-x) = 4(-x) + 5 \\f(-x) = -4x+5$
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