Respuesta :

Answer:

[tex]f(g(2))=3(2+h)^{2} +2(2+h)-4[/tex]

Step-by-step explanation:

we have

[tex]f(x)=3x^{2} +2x-4[/tex]

[tex]g(x)=x+h[/tex]

we know that

[tex]f(g(x))=3(x+h)^{2} +2(x+h)-4[/tex]

To determine [tex]f(g(2))[/tex]

substitute the value of x=2 in the function

so

[tex]f(g(2))=3(2+h)^{2} +2(2+h)-4[/tex]