Question

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

Answer 1

Answer:

6⃣

Step-by-step explanation:

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

Answer 2

Answer:

degree 6

Step-by-step 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