roblem 1 a) Find f o g.and g o f together with their domair f(x) = x³,x € R ; g(x) %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 1
a) Find f o g.and g of together with their domains:
1
; g(x) =
b) Find f o g oh with its domain of definition:
f(x) = x³,x € R
%3D
* +2X #-2;
f(x) = |x – 4|, g(x) :
,h(x) = Vx
X - 1
%3D
%3D
c) Find g so that y(t) = f o g(t) for the following function:
%3D
t2 +3
y(t) =
t2 + 4
where
t + 5
f(t) =
t + 6
Transcribed Image Text:Problem 1 a) Find f o g.and g of together with their domains: 1 ; g(x) = b) Find f o g oh with its domain of definition: f(x) = x³,x € R %3D * +2X #-2; f(x) = |x – 4|, g(x) : ,h(x) = Vx X - 1 %3D %3D c) Find g so that y(t) = f o g(t) for the following function: %3D t2 +3 y(t) = t2 + 4 where t + 5 f(t) = t + 6
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