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

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Consider the following functions.
f(x) = 
SQRT 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!

(f + g)(x) = f(x) + g(x) = SQRT (36 − x2) + 1 + x =  sqrt(6+x)(6-x)+1+x

domain of 

(f + g)(x). =  [-6,6]

(f - g)(x) = f(x) - g(x) = SQRT (36 − x2)- 1-x=sqrt (6+x)(6-x)-1-x

domain of 

(f - g)(x). =  [-6,6]

(fg)(x) = f(x)*g(x) = SQRT (36 − x2) (1+x)=sqrt [(6+x)(6-x)](1+x)

domain of 

(f g)(x). = [-6 ,-1 ) U [0,6]

( f/g )(x)= f(x)/ g(x)= SQRT (36 − x2)/ (1+x)

domain of 

(f g)(x). = [-6 ,-1 ) U [0,6]


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

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