Question

Use the functions a(x) = 4x + 9 and b(x) = 3x − 5 to complete the function operations listed below.

Part A: Find (a + b)(x). Show your work. (3 points)

Part B: Find (a ⋅ b)(x). Show your work. (3 points)

Part C: Find a[b(x)]. Show your work. (4 points)

Answer 1

A. (a + b)(x) =a(x)+b(x) = 4x + 9+ 3x − 5 = 7x - 4
B. (a ⋅ b)(x)= a(x)*b(x) =(4x + 9)( 3x − 5 )= 12x²+27x-20x-45 = 12x² +7x -45
C. a[b(x)] = 4(3x − 5) + 9 = 12x-20+9=12x-11