Answer:
The value of f(g(3) = 1,008
Step-by-step explanation:
Step:-1
Given f(x) =[tex]3 x ^ 2 + 2 x[/tex]
and g(x) = 3x+9
h(x) = 12+x
Given g(x) = 3x+9
put x =3
g(3) = 3(3)+9
g(3) = 18
Step :-(2)
f(g(3)) = f(18)
f(g(3) = 3(18)^2 +2(18) (since f(x) =[tex]3 x ^ 2 + 2 x[/tex])
= 1,008
Final answer:-
The value of f(g(3) = 1,008