True or False? In Exercises 65 and 66, determinewhether the statement is true or false. Justify youranswer.65. If f(x) = x + 1 and g(x) = 6x, then( f ∘ g)(x) = (g ∘ f)(x).66. When you are given two functions f and g and aconstant c, you can find ( f ∘ g)(c) if and only if g(c) isin the domain of f.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 49HP
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True or False? In Exercises 65 and 66, determine
whether the statement is true or false. Justify your
answer.
65. If f(x) = x + 1 and g(x) = 6x, then
( f ∘ g)(x) = (g ∘ f)(x).
66. When you are given two functions f and g and a
constant c, you can find ( f ∘ g)(c) if and only if g(c) is
in the domain of f.

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