Find the following. (a) ( f + g )( x ) = (b) ( f ? g )( x ) = (c) ( fg )( x ) =

Question

Find the following.

(a)    (f + g)(x) =

(b)    (f ? g)(x) =

(c)    (fg)(x) =

(d)    (f/g)(x) =

What is the domain of f/g?

-all real numbers except x =?7 and x = 0

-all real numbers except x =?7

-all real numbers except x = 0 and x =7

-all real numbers except x = 0

-all real numbers except x =?7 and x =7

(a)    (f + g)(x) =

(b)    (f ? g)(x) =

(c)    (fg)(x) =

(d)    (f/g)(x) =

What is the domain of f/g?

-all real numbers except x =?7 and x = 0

-all real numbers except x =?7

-all real numbers except x = 0 and x =7

-all real numbers except x = 0

-all real numbers except x =?7 and x =7

Explanation / Answer

f(x)=x/(x+7) , g(x)=x3

a. (f+g)(x)=f(x)+g(x) = (x + x4+7x3)/(x+7)

b. (f-g)(x)= f(x)-g(x)= (x-x4-7x3)/(x+7)

c. (fg)x=f(x)*g(x)=(x4)/(x+7)

d. (f/g)(x)= f(x)/g(x)= 1/(x2(x+7))

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