10. a) Given the functions f(x) = x + 2 and g(x) = 3", determine an equation for (f . g)(x) and (g f)(x). b) Determine f(g(3)) and g(f(3)). c) Determine all values of x for which f(g(x)) = g(f(x)) algebraically.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 8E
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10. a) Given the functions f(x) = x + 2 and g(x) = 3", determine an equation for (f. g)(x) and (g f)(x).
b) Determine f(g(3)) and g(f(3)).
c) Determine all values of x for which f(g(x)) = g(f(x)) algebraically.
Transcribed Image Text:10. a) Given the functions f(x) = x + 2 and g(x) = 3", determine an equation for (f. g)(x) and (g f)(x). b) Determine f(g(3)) and g(f(3)). c) Determine all values of x for which f(g(x)) = g(f(x)) algebraically.
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