Respuesta :

f(x) = 6x + 11
g(x) = x + 6
f[g(x)] = f(x + 6) = 6(x + 6) + 11 = 6x + 36 + 11 = 6x + 47
f[g(x)] = 6x + 47

Answer:

[tex]f(g(x))=6x+47[/tex]

Step-by-step explanation:

we have

[tex]f(x)=6x+11[/tex]

[tex]g(x)=x+6[/tex]

we know that

[tex]f(g(x))=6[x+6]+11[/tex]

[tex]f(g(x))=6x+36+11[/tex]

[tex]f(g(x))=6x+47[/tex]