Let f(x)=- 1 and g(x)=x². Compose the following functions and find the Vx+2 domain. (а) gof (b) gofog

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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Find the domain of the following functions.
Vx+10
(a)
f(x)=Ve%3* _ 2
(b)
f(x)=;
1+In(x+5)
Let f(x)=-
1
and g(x)=x². Compose the following functions and find the
Vx+2
domain.
(a)
gof
(b) gofog
True or False. Justify clearly your conclusion using sentences and/or
calculations.
(a)
If f and g are two functions, then fog=g•f.
(b)
If x is any real number, then Vx² =
X .
(c)
If x>0, then (Inx) =5ln x .
Transcribed Image Text:Find the domain of the following functions. Vx+10 (a) f(x)=Ve%3* _ 2 (b) f(x)=; 1+In(x+5) Let f(x)=- 1 and g(x)=x². Compose the following functions and find the Vx+2 domain. (a) gof (b) gofog True or False. Justify clearly your conclusion using sentences and/or calculations. (a) If f and g are two functions, then fog=g•f. (b) If x is any real number, then Vx² = X . (c) If x>0, then (Inx) =5ln x .
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