Answer:
the degree of the function is 8
Step-by-step explanation:
(f º g º h)(x) = [tex]f(g(h(x)))[/tex]
first lets evaluate g(h(x))
[tex](x^4 + 2x^3)^2 - 4(x^2 + 2x^3)[/tex]
simplify
[tex]x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3[/tex]
[tex]x^8 + -4x^3 + 4x^6 - 4x^4[/tex]
you can easily see that the highest power term is 8 meaning the degree of the function is 8
