Question

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below. Part A: Find (f + g)(x). Show your work. (3 points) Part B: Find (f ⋅ g)(x). Show your work. (3 points) Part C: Find f[g(x)]. Show your work. (4 points)

Answer 1

Part a)
16 x - 10
f + g = 5x − 12 + 11x + 2= 16x -10
Part b)
f * g = (5x − 12)(11x + 2) = 55x^2 - 132x + 10x - 24 =  55 x^2  - 122 x - 24
Part c) 
f(g(x)) = f( 11x + 2) = 5(11x +2) - 12 = 55x + 10 - 12 = 55x-2