1a. f(x)=−x^2 ; g(x)=x−3 Find the expressions for f∘g and g∘f and give their domains. (f∘g)(x)= Domain (in interval notation):   (g∘f)(x)= Domain (in interval notation): 1b. f(x)=√x−2 ; g(x)=3x+1 Find the expressions for f∘g and g∘f and give their domains. (f∘g)(x)= Domain (in interval notation):     (g∘f)(x)= Domain (in interval notation): 1c. f(x)=|x| ; g(x)=x/x−5 Find the expressions for f∘g and g∘f and give their domains. (f∘g)(x)=   Domain (in interval notation):     (g∘f)(x)=   Domain (in interval notation):

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1a. f(x)=−x^2 ; g(x)=x−3

Find the expressions for f∘g and g∘f and give their domains.

(f∘g)(x)=
Domain (in interval notation):  

(g∘f)(x)=
Domain (in interval notation):

1b.

f(x)=√x−2 ; g(x)=3x+1
Find the expressions for f∘g and g∘f and give their domains.

(f∘g)(x)=
Domain (in interval notation):    

(g∘f)(x)=
Domain (in interval notation):

1c.

f(x)=|x| ; g(x)=x/x−5

Find the expressions for f∘g and g∘f and give their domains.

(f∘g)(x)=  
Domain (in interval notation):    

(g∘f)(x)=  
Domain (in interval notation):

 

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