If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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If f(x) = x + 7 and g(x) = x − 7,
(a) f(g(x)) =
(b) g(f(x)) =
(c) Thus g(x) is called an
function of f(x)
Transcribed Image Text:If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)
(a) Find the inverse function of f(x)
ƒ-¹(x) =
= 2x - 3.
1
(b) The graphs of ƒ and f-¹ are symmetric with respect to the line defined by y
Transcribed Image Text:(a) Find the inverse function of f(x) ƒ-¹(x) = = 2x - 3. 1 (b) The graphs of ƒ and f-¹ are symmetric with respect to the line defined by y
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