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.

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)=(4x-5)+(3x+9)=7x+4`
B)
`(f*g)(x)=f(x)*g(x)=(4x-5)(3x+9)=12x^2+21x-45`
C)
`f(g(x)) = 4(3x+9)-5 = 12x+31`