Question

HELP PLEASE!!! URGENT!!!

Use the functions f(x) =3x+7 and g(x)=4x-2 to complete the function operations listed below.

Part A: Find (f + g)(x). Show your work.

Part B: Find (f • g)(x). Show your work.

Part C: Find f[g(x)]. Show your work.

Answer 1

f(x) = 3x + 7.....g(x) = 4x - 2

A. (f + g)(x)
3x + 7 + 4x - 2
7x + 5 <====

B. (f * g)(x)
(3x + 7)(4x - 2) =
3x(4x - 2) + 7(4x - 2) =
12x^2 - 6x + 28x - 14
12x^2 + 22x - 14 <===

C. f[g(x)]
3(4x - 2) + 7 =
12x - 6 + 7 =
12x + 1 <===