andrewzarco0619 andrewzarco0619
  • 24-05-2022
  • Mathematics
contestada

If f(x) = -x³, g(x) = 3x²-1, and h(x) = 2x + 5, what is the degree of [f og o h](x)?
2
03
05
06

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-05-2022

Answer:

  (d)  6

Step-by-step explanation:

The degree of a composition of polynomials is the product of the degrees of the contributing functions.

__

  f(g(h(x))) = -(3(2x+5)² -1)³

  f(g(h(x))) = -1728x⁶ -25920x⁵ -161568x⁴ -535680x³ -996336x² -985680x -405224

The degree of (f∘g∘h)(x) is 6.

_____

3×2×1 = 6

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