asked 2.0k views
1 vote
If fx) - 3x2 and g(x) - 4x + 1, what is the degree of (fºg)(x)?
оооо

1 Answer

5 votes

Answer:

The degree is 2.

Explanation:

We are given f(x)=-3x^2 and g(x)=-4x+1.

(f o g)(x)

f(g(x))

f(-4x+1)

This means the old x in f will be replaced with -4x+1 like so:

-3(-4x+1)^2

-3(-4x+1)(-4x+1)

Use foil!

-3(16x^2-4x-4x+1)

-3(16x^2-8x+1)

-48x^2+24x-3

The degree is 2. The degree is the highest exponent on the variable if you only have one variable and your polynomial is written in standard form.

answered
User Jodocus
by
8.0k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.