Answer: (c) [tex]f(x) = 3x^2\\g(x) = x + 2[/tex]
Explanation:
[tex]h(x) = (f\circ g)(x)[/tex] is a composition of f and g, where g is plugged into the argument of f(x) in place of x. The result of this composition is given as h(x).
The choice (c) for f and g matches the results given because:
[tex]f(x) = 3x^2\\g(x) = x + 2\\(f\circ g)(x)=f(g(x)) = 3(g(x))^2=3(x+2)^2=h(x)[/tex]
