Given f(x)=1/x−3 and g(x)=9/x−1, find the domain of f(g(x))

asked Oct 10, 2021 185k views

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Answer:

f(g(x))=(x-1)/(10-3x)

Explanation:

$f(x)=(1)/(x-3)\\\\g(x)=(9)/(x-1)\\\\f(g(x))=f((9)/(x-1))\\\\f(g(x))=(1)/(g(x)-3)\\\\f(g(x))=(1)/((9)/(x-1)-3)=(x-1)/(9-3(x-1))=(x-1)/(10-3x)$

Mirko Brombin answered Oct 14, 2021

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