jazminebullock22 jazminebullock22
  • 20-01-2020
  • Mathematics
contestada

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

Respuesta :

sam4040
sam4040 sam4040
  • 25-01-2020

Answer:

[tex]f(g(x))=\frac{x-1}{10-3x}[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{1}{x-3}\\\\g(x)=\frac{9}{x-1}\\\\f(g(x))=f(\frac{9}{x-1})\\\\f(g(x))=\frac{1}{g(x)-3}\\\\f(g(x))=\frac{1}{\frac{9}{x-1}-3}=\frac{x-1}{9-3(x-1)}=\frac{x-1}{10-3x}[/tex]

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