SOLUTION: Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain.

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Question 65138: Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain.
(f/g)(x) means the function of f divided by the function of g.
%28f%2Fg%29%28x%29=%281%2Fx%29%2F%28%28x%2B1%29%2F%28x-2%29%29 Notice that x cannot =2 or g will be undefined.
%28f%2Fg%29%28x%29=%28x%28x-2%29%281%2Fx%29%29%2F%28x%28x-2%29%28x%2B1%29%2F%28x-2%29%29
%28f%2Fg%29%28x%29=%28x-2%29%2F%28x%28x%2B1%29%29 Notice that now x cannot=0 or -1 or the fraction will be undefined because the denominator will be 0.
Therefore, the domain is {x|x cannot=-1,0,2}
Happy Calculating!!!