Verified Answer :

Suppose you are given the two functions  f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into  f (x). 

Answer:

Degree of (fog)(x) is:

6

Step-by-step explanation:

We are given \(f(x)=5x^2\ and\ g(x)=2x^3\)

We have to find the degree of the function (fog)(x)

First of all we find (fog)(x)

(fog)(x)=f(g(x))

          =\(f(2x^3)\)

          =\(5(2x^3)^2\)

         =\(5\times 2^2\times x^6\)

         = \(20x^6\)

Hence, Degree of (fog)(x) is:

6

(Since degree is the highest power of x contained in the expression)