f(x)=16x+12
g(x)=4x+3

find: (fg)(x)

select one:
a. 4x+4
b. 8
c. 4
d. 12x+9

Divide f(x) over g(x). To simplify, factor everything as much as possible and cancel out any common terms. In this case "4x+3" is a common term that shows up in the numerator and denominator.

(f/g)(x) = [ f(x) ]/[ g(x) ]
(f/g)(x) = (16x + 12)/(4x + 3)
(f/g)(x) = (4(4x+3))/(4x+3)
(f/g)(x) = 4

So the answer is choice C