chalabryant8 chalabryant8
  • 21-03-2018
  • Mathematics
contestada

et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)(­ -7)

a.63/55

b.259/49

c.-57/7

d.384/7

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 09-01-2019

Answer:

A

Step-by-step explanation:

A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.

[tex] \frac{x^2+6+8}{x^2+6}[/tex]

Now substitute -7 for x.

[tex]\frac{x^2+6+8}{x^2+6} = \frac{(-7)^2+6+8}{(-7)^2+6}=\frac{49+6+8}{49+6}=\frac{63}{55}[/tex]

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