Question

PLEASE HELP!
Given that f(x) = 5x2 + 2x – 3, g(x) = 6x – 3, and h(x) = 2x + 9 find each function.


(f • g)(x)


A. 30x3 – 3x2 – 24x + 9

B. 15x3 – 3x2 – 24x + 9

C. 30x3 + 24x2 – 18x + 9


D. 15x3 – 3x2 + 24x – 9

Answer 1

Answer:

A.30x3-3x2-24x+9

Step-by-step explanation

1. Separate the terms in g(x). (6x) (-3)

2. Distribute by multiplying each term in f(x) by (6x).

   (6x)(5x2+2x-3)=30x3+12x2-18x

3. Distribute the other term in g(x) to each term in f(x).

   (-3)(5x2+2x-3)= -15x2-6x+9

4. Combine the like terms of both answers.

   30x3+12x2-18x-15x2-6x+9= 30x3-3x2-24x+9