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5 votes
If f(x) =3x2 and g(x)=4x3+1, what the degree of (f•g)(x)?

2
3
5
6

User Greatvovan
by
6.6k points

2 Answers

3 votes

Answer:

its D. 6

Explanation:

got it right on edge 2021

User OrigamiEye
by
6.9k points
4 votes

f(x) = 3x²

g(x) = 4x³ + 1

f(g(x)) = 3.(4x³ + 1)²

As we know

(a + b)² = a² + 2.a.b + b²

So,

(4x³ + 1) = (4x³)² + 2.4x³.1 + 1² =
4x^6+8x^3+1

f(g(x)) = 3.(
4x^6+8x^3+1)

The degree is the maximum exponent, so, 6.

User Timaktimak
by
7.8k points