Question

F(x) = x + 9, g(x) = x2 − 4x, h(x) = x4 + 2x3

What is the degree of (f º g º h)(x)?


7

8

21

24

Answer 1

its 8 :)

Explanation:

Answer 2

the degree of the function is 8

Explanation:

(f º g º h)(x) =
`f(g(h(x)))`

first lets evaluate g(h(x))

`(x^4 + 2x^3)^2 - 4(x^2 + 2x^3)`

simplify

`x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3`

`x^8 + -4x^3 + 4x^6 - 4x^4`

you can easily see that the highest power term is 8 meaning the degree of the function is 8