Question

What is the degree of...?

Answer 1

D 6

Explanation:

note that (f ￮ g)(x) = f(g(x))

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x)) = f(4x³ + 1)

= 3(4x³ + 1)²

= 3(16
`x^(6)` + 8x³ + 1)

= 48
`x^(6)` + 24x³ + 3 ← polynomial of degree 6

The degree of a polynomial is the value of the largest exponent, that is 6