SOLUTION: Find the domain of the composite function f.g f(x)=x/x+3; g(x)=-4/x Please help!

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Question 685811: Find the domain of the composite function f.g
f(x)=x/x+3; g(x)=-4/x
Please help!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
f(g(x)) = %28-4%2Fx%29%2F%28%28-4%2Fx%29%2B3%29
= %28-4%2Fx%29%2F%28%28-4%2Fx%29+%2B+3%28x%2Fx%29%29
= %28-4%2Fx%29%2F%28%28-4%2B3x%29%2Fx%29
= %28-4%2Fx%29%28x%2F%28-4%2B3x%29%29
= -4%2F%28-4%2B3x%29
domain is all x except where -4+3x=0
0 = -4+3x
4 = 3x
x = 4%2F3
...
Domain is all x except 4%2F3
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