kaitlynmoreno425
kaitlynmoreno425 kaitlynmoreno425
  • 13-06-2021
  • Mathematics
contestada

PLEASE HELP! I’ll DO BRAINLIEST!!!!! Plss
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 , find (fg)(x)

A) 4x^2-6x-8
B) 3x^3+x^2-6x-6
C) 3x^2-17
D) 3x^3+x^2-18x-6

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-06-2021

9514 1404 393

Answer:

  D)  3x^3 +x^2 -18x -6

Step-by-step explanation:

The distributive property applies.

  (f·g)(x) = f(x)·g(x) = (3x +1)(x^2 -6) = 3x(x^2 -6) +1(x^2 -6)

  (f·g)(x) = 3x^3 -18x +x^2 -6 . . . . . eliminate parentheses

  (f·g)(x) = 3x^3 +x^2 -18x -6 . . . . put in standard form

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