monicamartinez245
monicamartinez245 monicamartinez245
  • 24-01-2019
  • Mathematics
contestada

Find (g o f)(3) f(x)= 3x-2 g(x)=x^2

Respuesta :

gmany
gmany gmany
  • 25-01-2019

[tex](g\circ f)(x)=g(f(x))\\\\\text{We have}\ f(x)=3x-2\ \text{and}\ g(x)=x^2.\ \text{Substitute:}\\\\(g\circ f)(x)=(3x-2)^2\\\\(g\circ f)(3)\to \text{put the value of x = 3 to the equation of the function}\\\\(g\circ f)(3)=(3\cdot3-2)^2=(9-2)^2=(7)^2=7\cdot7=49\\\\Answer:\ \boxed{(g\circ f)(3)=49}[/tex]

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