Answer :
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 = [tex]4x^6+8x^3+1[/tex]
f(g(x)) = 3.([tex]4x^6+8x^3+1[/tex])
The degree is the maximum exponent, so, 6.
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 = [tex]4x^6+8x^3+1[/tex]
f(g(x)) = 3.([tex]4x^6+8x^3+1[/tex])
The degree is the maximum exponent, so, 6.