x+ i) g(x) ii) m(x) = 2x a) y = (fog)(x) b) y = (fob) (x) ¢ y = (f °k)(x) y=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Question
vi p(x) = độ -4
Given the graph of y = f(x) shown and the functions below, match
the correct composition with each graph. Justify your choices.
i) g(x)= x + 3 iii) b(x) = x-3 v) k(x) = -x
ii) m(x) = 2x
a) y = (fog)(x)
b) y = (fob) (x)
¢) y = (fok)(x)
d) y = (fom) (x)
e) y = (fon)(x)
f) y = (fop) (x)
iv) n(x) = -0.5x
g) y = (gof)(x)
h) y= (hof)(x)
i) y = (kof)(x)
y = (mof)(x)
j)
y = (n°f)(x)
k)
1) y = (pof)(x)
2
y=f(x)
Transcribed Image Text:vi p(x) = độ -4 Given the graph of y = f(x) shown and the functions below, match the correct composition with each graph. Justify your choices. i) g(x)= x + 3 iii) b(x) = x-3 v) k(x) = -x ii) m(x) = 2x a) y = (fog)(x) b) y = (fob) (x) ¢) y = (fok)(x) d) y = (fom) (x) e) y = (fon)(x) f) y = (fop) (x) iv) n(x) = -0.5x g) y = (gof)(x) h) y= (hof)(x) i) y = (kof)(x) y = (mof)(x) j) y = (n°f)(x) k) 1) y = (pof)(x) 2 y=f(x)
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