Question

Let f (x) = 3x2 + 2 and g(x) = 2x, find f (g(x))​

Answer 1

the answer is the third possible answer

Answer 2

D) 12x^2+2

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):

`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`

So, f(g(x))=12x^2+2, making D the right answer