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zhuklara [117]
3 years ago
10

If f(x) =3x2 and g(x)=4x3+1, what the degree of (f•g)(x)? 2 3 5 6

Mathematics
1 answer:
atroni [7]3 years ago
4 0

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.

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