Question

If f(x)=3x^2 and g(x)=4x^2+1, what is the degree of (f0g)(x)

Answer 1

6⃣

Explanation:

3 + 24x² + 48x⁶; take the highest degree term possible.

Answer 2

degree 6

Explanation:

To obtain (f ￮ g(x) substitute x = g(x) into f(x)

f(4x³ + 1)

= 3(4x³ + 1)²

= 3(16
`x^(6)` + 8x³ + 1)

= 48
`x^(6)` + 24x³ + 3

The degree is determined by the term with the largest exponent.

In this case 48
`x^(6)` ← with exponent 6

Hence the polynomial is of degree 6