SOLUTION: for the real-valued functions f(x)=x-2/x-5 and g(x)=2x+7, find the composition fog and specify its domain using interval domain

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Question 484859: for the real-valued functions f(x)=x-2/x-5 and g(x)=2x+7, find the composition fog and specify its domain using interval domain
Answer by lwsshak3(11628) About Me  (Show Source):
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for the real-valued functions f(x)=x-2/x-5 and g(x)=2x+7, find the composition fog and specify its domain using interval domain.
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f(x)=x-2/x-5
g(x)=2x+7
..
fog=f[g(x)]=f(2x+7)=(2x+7-2)/(2x+7-5)
fog=(2x+5)/(2x+2)
Domain of f(x): x≠5
g(x) must be in domain of f(x)
2x+7=5
2x=-2
x=-1
Domain of fog: (-∞,-1) U (-1, ∞)