3. Let F(x) = ea²+1. Find the functions f(x) and g(x) such that F = f o g. 3. We can find many pairs of functions (f, g) such that F and g(x) = x² +1 because fog. One example is f(x) = e* (f o g)(x) = f(g(x)) = f(x² + 1) = e+1 = F(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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3. Let F(x) = ea²+1. Find the functions f(x) and g(x) such that F = f o g.
Transcribed Image Text:3. Let F(x) = ea²+1. Find the functions f(x) and g(x) such that F = f o g.
3. We can find many pairs of functions (f, g) such that F
and g(x) = x² +1 because
fog. One example is f(x) = e*
(f o g)(x) = f(g(x)) = f(x² + 1) = e+1 = F(x).
Transcribed Image Text:3. We can find many pairs of functions (f, g) such that F and g(x) = x² +1 because fog. One example is f(x) = e* (f o g)(x) = f(g(x)) = f(x² + 1) = e+1 = F(x).
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