Answer:
[tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]
Step-by-step explanation:
[tex]h(x)=(f o g) (x)[/tex]
[tex]h(x)=3(x+2)^2[/tex]
[tex](f og)(x) = f(g(x))[/tex]
g(x) is the inside function and f is the outside function
To get g(x) , we need to find the inside function in h(x)
[tex]h(x)=3(x+2)^2[/tex]
Inside function is x+2
So g(x) is x+2
when g(x)= x+2 then f(x) is [tex]3x^2[/tex]
So [tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]
