Question

If f(x)=3x^2 and g(x)=4x^3+1, what is the degree of (f•g)(x)?

a. 2
b. 3
c. 5
d. 6​

Answer 1

The degree of (f • g)(x) is 6.

Step-by-step explanation:

The degree of the composite function (f • g)(x) is equal to the product of the degrees of f(x) and g(x). The degree of f(x) is 2 (highest power of x) and the degree of g(x) is 3 (highest power of x). Therefore, the degree of (f • g)(x) will be 2 × 3 = 6.