Question

cantdecide445
Use the functions f(x) = 5x − 12 and g(x) = 11x + 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

A: (f + g)(x) = f(x) + g(x)

(f + g)(x) = 5x - 12 + 11x + 2

(f + g)(x) = 16x - 10

B: (f • g)(x) = f(x) • g(x)
(f • g)(x) = (5x - 12)(11x + 12)
(f • g)(x) = 55x² + 60x - 121x - 144
(f • g)(x) = 55x² - 61x - 144

C: Plug g(x) into f(x) as x.
f[g(x)] = 5(11x + 12) - 12
f[g(x)] = 55x + 60 - 12
f[g(x)] = 55x + 48