Consider the following functions. f(x) = 1 x , g(x) = 3 x + 3 Find (f + g)(

Algebra
Tutor: None Selected Time limit: 1 Day

Consider the following functions.
f(x) = 
1
x
,   g(x) = 
3
x + 3
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.) 
Jul 16th, 2015

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

we have the two function : 

f(x) = 1/x  and g(x) = 3 / (x+3)


Find 

(f + g)(x) =(4x + 3 )/ (x² +3x)




Find the domain of 

(f + g)(x).

D(f+g) = ]-infini , -3[U]-3 , 0[ U ] 0 , +infini[ 

 (Enter your answer using interval notation.) 



Find 

(f − g)(x) = (3 - 2x) / (x² +3x)




Find the domain of 

(f − g)(x).

D(f- g) = ]-infini , -3[U]-3 , 0[ U ] 0 , +infini[ 


 (Enter your answer using interval notation.) 



Find 

(fg)(x) = 1 / (x² + 3x)




Find the domain of 

(fg)(x).

D(fg) = ]-infini , -3[U]-3 , 0[ U ] 0 , +infini[ 

 (Enter your answer using interval notation.) 



Find 

(f/g)(x).  =( x + 3 )/ 3x




Find the domain of 

f
g
(x).

 (Enter your answer using interval notation.) 

D(f/g) = ]-infini ,  0[ U ] 0 , +infini[ 


please ask if you have any question 


Good Luck 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 16th, 2015

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