Text The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. tan (x) = f(g(x)) where f(x) = , and g(x) = 2. tan(tan(x)) = f(g(x)) where f(x) = and g(x) = 3. tan x = f(g(x)) where f(x) = , and g(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 74E
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Text The following three functions look very similar, but define very different functions. Think about how
they are defined and write each as a composition of functions given the information below. (None of the
functions in your compositions should be the same as the given function.)
1. tan (x) = f(g(x)) where
f(x) =
, and g(x) =
2. tan(tan(x)) = f(g(x)) where
f(x) =
and g(x) =
3. tan x = f(g(x)) where
f(x) =
, and g(x)
Transcribed Image Text:Text The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. tan (x) = f(g(x)) where f(x) = , and g(x) = 2. tan(tan(x)) = f(g(x)) where f(x) = and g(x) = 3. tan x = f(g(x)) where f(x) = , and g(x)
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