Consider the following functions.

Algebra
Tutor: None Selected Time limit: 1 Day

Find (f + g)(x)

 Find the domain of (f + g)(x).

f(x) = 

4
x + 3

,    g(x) = 

x
x + 3

 

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).

Feb 23rd, 2015

(f + g)(x)=f(x)+g(x)=4/(x+3) + x/(x+3)

                              =(x+4)/(x+3)

The domain is x/=-3

(f − g)(x)=f(x)-g(x)=4/(x+3) - x/(x+3)

                              =(4-x)/(x+3)

The domain is x/=-3

(fg)(x)=f(x)*g(x)=4/(x+3) * x/(x+3)

                        =4x/(x+3)^2

 The domain is x/=-3

f/g (x)=f(x)/g(x)=4/(x+3) / x/(x+3)

                        =4/x

The domain is x/=-3 and x/=0

Feb 23rd, 2015

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Feb 23rd, 2015
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