Answer:
D) 12x^2+2
Step-by-step explanation:
As we are dealing with composite functions, the rule is that f(g(x)) means whatever the value of g(x) is, we substitute that value for x in f(x):
[tex]f(x)=3x^2+2\\g(x)=2x\\f(g(x))=3(2x)^2+2\\f(g(x))=3(4x^2)+2\\f(g(x))=12x^2+2[/tex]
So, f(g(x))=12x^2+2, making D the right answer
