polocutie24 polocutie24
  • 01-05-2018
  • Mathematics
contestada

If f(x)=3x+1 and g(x)=2x-5, what is f(g(x)?

Respuesta :

MrGumby
MrGumby MrGumby
  • 20-09-2018

f(g(x)) is equal to 6x - 14.

In order to find any composite function, we need to take the instead function (g(x)) and plug it into the outside function (f(x)) where the x term is. So start with the f(x).

f(x) = 3x + 1

Now stick g(x) where x is.

f(g(x)) = 3(2x - 5) + 1

Distribute

f(g(x)) = 3x -15 + 1

And then simplify.

f(g(x)) = 3x - 14

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