callyneverlander23 callyneverlander23
  • 02-10-2019
  • Mathematics
contestada

f(x)=7/(x+3) and g(x)=1/x find (f o g)(x)

Respuesta :

mberisso
mberisso mberisso
  • 02-10-2019

Answer:

[tex]\frac{7x}{1+3x}[/tex]

Step-by-step explanation:

If [tex]f(x)=\frac{7}{x+3}[/tex]  and [tex]g(x)=\frac{1}{x}[/tex]

Then:

[tex](fog)(x) = f(g(x))=\frac{7}{g(x)+3} =\frac{7}{\frac{1}{x}+3 } =\frac{7}{\frac{1}{x}+\frac{3x}{x}  }=\\ = \frac{7}{\frac{1+3x}{x} }=\frac{7x}{1+3x}[/tex]

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