Question

Given f(x) = 5x2 2 and g(x) = 2x3 (f º g)(x) is a function of degree

Answer 1

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)

Answer 2

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).