Respuesta :

Yes it could work.

For example if you had f(x) = x^3 and g(x) = x+5, then

f(g(x)) = (x+5)^3

f(g(x)) = x^3+15x^2+75x+125

which you can find through the binomial expansion theorem. The expression (x+5) is a binomial.

The binomial expansion theorem should be work for the function composition. Hence, the answer should be yes.

Whether binomial expansion theorem work or not;

Here we can take an example

Like

f(x) = [tex]x^3[/tex] and g(x) = x+5,

So,

f(g(x)) = [tex](x+5)^3[/tex]

Now

f(g(x)) = [tex]x^3+15x^2+75x+125[/tex]

So here we can find via the binomial expansion theorem. So the expression (x+5) is a binomial.

Learn more about binomial here: https://brainly.com/question/15823865