a) i) We've studied functions to be a way of mapping input numbers to output numbers. Given two functions f(x) and g(x), explain in words what the composition of functions means (such as (f o g)(x)). ii) Assume that for some functions f(x) and g(x), it is given that (f o g)(2) = 10 and that g(2) = 20. What must be true about the function f(x) based on that info?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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a) i) We've studied functions to be a way of mapping input
numbers to output numbers. Given two functions f(x) and g(x),
explain in words what the composition of functions means (such
as (f o g)(x)).
ii) Assume that for some functions f(x) and g(x), it is given that
(fo g)(2) = 10 and that g(2) = 20. What must be true about the
function f(x) based on that info?
Transcribed Image Text:a) i) We've studied functions to be a way of mapping input numbers to output numbers. Given two functions f(x) and g(x), explain in words what the composition of functions means (such as (f o g)(x)). ii) Assume that for some functions f(x) and g(x), it is given that (fo g)(2) = 10 and that g(2) = 20. What must be true about the function f(x) based on that info?
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