elizabethrosegallego
elizabethrosegallego elizabethrosegallego
  • 02-11-2020
  • Mathematics
contestada

For f(x)=3x + 1 and g(x)=x^2-6 find (fog)(x).

a. 3x^2-17
b. 4x^2-6x-8
c. 3x^3+x^2-6x-6
d. 3x^3+x^2-18x-6​

Respuesta :

aliciayong025
aliciayong025 aliciayong025
  • 02-11-2020

Answer:

A

Step-by-step explanation:

Observe that (fog)(x) is equivalent to f(g(x)) which is to say intuitively the output of the function g(x) is fed as an input into the function f(x).

So in this case the general output of g(x) is x^2-6 for every input x. Thus fed as an input of f(x) in the form f(x^2-6) becomes 3(x^2-6)+1=3x^2-17.

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