SOLUTION: find the domain of (f + g)(x)when f(x) =2x+5and g (x)=4/x-2

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Question 757410: find the domain of (f + g)(x)when f(x) =2x+5and g (x)=4/x-2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Not know exactly what you mean for g(x), but if you mean this:
%28f+%2B+g%29%28x+%29 when f%28x%29=2x%2B5 and g%28x%29=4%2Fx-2

The the composition you indicate is 2x+5+(4/x)-2
=2x%2B%284%2Fx%29%2B3

The domain then is the set of Real Numbers x%3C%3E0.
Using inequality to express this domain,
x%3C0 and x%3E0
(Used "and" because domain is a set and we want to include all members of the set).