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. tan³ (x) = f(g(x)) where "(x) = 2. tan(tan(x)) = f(g(x)) where (x) = , and g(x) = , and g(x) = 3. tan x = f(g(x)) where *(x) = and g(x) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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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. tan³ (x) = f(g(x)) where
"(x) =
2. tan(tan(x)) = f(g(x)) where
(x) =
, and g(x) =
, and g(x) =
3. tan x = f(g(x)) where
*(x) =
and g(x) =
Transcribed Image 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. tan³ (x) = f(g(x)) where "(x) = 2. tan(tan(x)) = f(g(x)) where (x) = , and g(x) = , and g(x) = 3. tan x = f(g(x)) where *(x) = and g(x) =
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