Consider the following functions.

Algebra
Tutor: None Selected Time limit: 1 Day

f(x) = 

5
x

,   g(x) = 

7
x + 7

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).

Feb 23rd, 2015

(f+g)(x) = 5/x+7/(x+7)

(f-g)(x) = 5/x-7/(x+7)

If it means f(x)* g(x)

(fg)(x) = 5/x * 7/(x+7)

If it is f ( g(x)) then 5 /(7/(x+7))

(f/g) (x) = (5/x) /( 7/(x+7) ) = 5/7 * (x+7)/x

Domain for this = { x | x is real , x ≠ 0 }


Feb 23rd, 2015

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Feb 23rd, 2015
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Feb 23rd, 2015
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