## Calculus 8th Edition

Published by Cengage

# Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 44: 53

#### Answer

a. $5$ b. $3$ c. $0$ d. not defined e. $4$ f. $-2$

#### Work Step by Step

a. $f(g(2))=\quad$($2,5$) on the graph of g $= f(5)\quad$($5,5$) on the graph of f $=5$ b. $g(f(0))=\quad$ ($0,0$) on the graph of f $g(0)=\quad$($0,3$) on the graph of g $=3$ c. $f(g(0))=\quad$($0,3$) on the graph of g $=f(3) =\quad (3,0$) on the graph of {\it f} $=0$ d. $g(f(6))==\quad (6,6$) on the graph of {\it f} $=g(6)$ is not defined (no point on teh grpah of g with x coordinate of 6) e. $(g\circ g)(-2)=\quad$($-2,1$) on the graph of g $=g(1)=\quad$($1,4$) on the graph of g $=4$ f. $(f\circ f)(4)=\quad$($4,2$) on the graph of f $=f(2)=\quad$($2,-2$) on the graph of f $=-2$

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