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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 8E
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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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