Sir10to4 Sir10to4
  • 06-05-2019
  • Mathematics
contestada

Plz help

Given that
F (x)=2x
Gof (x)=6x+2
Find g (x)

Respuesta :

gmany
gmany gmany
  • 11-05-2019

Answer:

g(x) = 3x + 2

Step-by-step explanation:

[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]

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