Answer:
Degree of (fog)(x) is:
6
Step-by-step explanation:
We are given [tex]f(x)=5x^2\ and\ g(x)=2x^3[/tex]
We have to find the degree of the function (fog)(x)
First of all we find (fog)(x)
(fog)(x)=f(g(x))
=[tex]f(2x^3)[/tex]
=[tex]5(2x^3)^2[/tex]
=[tex]5\times 2^2\times x^6[/tex]
= [tex]20x^6[/tex]
Hence, Degree of (fog)(x) is:
6
(Since degree is the highest power of x contained in the expression)
