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

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

asked
User Dionis Beqiraj
by
7.4k points

1 Answer

4 votes

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)

answered
User Mirko Brombin
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