Consider the following functions. f(x) = 36 − x2 , g(x) = 1 + x Find (f +

Algebra
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Consider the following functions.

f(x) = 
36 − x2
,   g(x) = 
1 + x
Find 
(f + g)(x)

 

Find the domain of 
(f + g)(x).
 (Enter your answer using interval notation.)
 

Find 
(f − g)(x).

 

Find the domain of 
(f − g)(x).
 (Enter your answer using interval notation.)
 

Find 
(fg)(x).

 

Find the domain of 
(fg)(x).
 (Enter your answer using interval notation.)
 

Find 
f
g
(x).

 

Find the domain of 
f
g
(x).
 (Enter your answer using interval notation.)
 
Jun 30th, 2015

Thank you for the opportunity to help you with your question!

Consider the following functions

f(x) = 36-x^2    and   g(x) = 1+x

(f+g)(c) =  37-x^2 + x   .... Domain is set of all real numbers

(f-g)(x) = 35-x^2-x     ........Domain is set of all real numbers

(fg)(x) = (36-x^2)*(1+x) = 36+36x-x^2-x^3  ........ Domain is set of all real numbers

(f/g)(x) = (36-x^2) / (1+x) .................................. Domain is set of all real numbers except x = -1

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 30th, 2015

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