Answer:
[tex]goh(x)=x^3+12x^2+49x+68[/tex]
Step-by-step explanation:
[tex]g(x) = x^3+x[/tex]
[tex]h(x)=x+4[/tex]
We have to find
[tex]goh(x)[/tex]
[tex]goh(x) = g(h(x))=g(x+4)[/tex]
If [tex]g(x) = x^3+x[/tex]
[tex]g(x+4) = (x+4)^3+(x+4)[/tex]
=[tex] x^3+12x^2+49x+68[/tex]
Hence our answer is
[tex]goh(x)=x^3+12x^2+49x+68[/tex]