2. Reviewing the functions f(x) = e and g(x) = ln x. = x on the same set of axes. Make sure (a) Neatly graph f(x) = e, g(x) = ln x and h(x) to label their x- and y-intercepts and the asymptotes too (if they exist). What is the domain of f? What is the range of f? What is the domain of g? What is the range of g? What is the domain of h? What is the range of h? Find f(g(x)) and aff(x)). Simplify. Are f and g inverse functions? How can you tell? (2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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2. Reviewing the functions f(x) = e and g(x) = ln x.
(a) Neatly graph f(x) = e, g(x) = lnx and h(x) = x on the same set of axes. Make sure
to label their x- and y-intercepts and the asymptotes too (if they exist). What is the
domain of f? What is the range of f? What is the domain of g? What is the range of
g? What is the domain of h? What is the range of h?
(b) Find f(g(x)) and g(f(x)). Simplify. Are f and g inverse functions? How can you tell?
Transcribed Image Text:2. Reviewing the functions f(x) = e and g(x) = ln x. (a) Neatly graph f(x) = e, g(x) = lnx and h(x) = x on the same set of axes. Make sure to label their x- and y-intercepts and the asymptotes too (if they exist). What is the domain of f? What is the range of f? What is the domain of g? What is the range of g? What is the domain of h? What is the range of h? (b) Find f(g(x)) and g(f(x)). Simplify. Are f and g inverse functions? How can you tell?
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