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

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

Find the domain of
(f + g)(x).

Find
(f − g)(x).

Find the domain of
(f − g)(x).

Find
(fg)(x).

Find the domain of
(fg)(x).

Find
 f g
(x).

Find the domain of
 f g
(x).
Oct 18th, 2017

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[

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[

Find

(fg)(x) = 1 / (x² + 3x)

Find the domain of

(fg)(x).

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

Find

(f/g)(x).  =( x + 3 )/ 3x

Find the domain of

 f g
(x).

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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Oct 18th, 2017
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Oct 18th, 2017
Oct 19th, 2017
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