afilippini45 afilippini45
  • 24-01-2020
  • Mathematics
contestada

g(x)= -4x
h(x)= 2x^3 + 5x^2 + 2x Find(2g+4h)(x)

Respuesta :

gmany
gmany gmany
  • 24-01-2020

Answer:

[tex]\large\boxed{(2g+4h)(x)=8x^3+20x^2}[/tex]

Step-by-step explanation:

[tex]g(x)=-4x\\\\h(x)=2x^3+5x^2+2x\\\\(2g+4h)(x)=2g(x)+4h(x)\\\\2g(x)=(2)(-4x)=-8x\\\\4h(x)=(4)(2x^3+5x^2+2x)\qquad\text{use the distributive property}\\\\4h(x)=(4)(2x^3)+(4)(5x^2)+(4)(2x)=8x^3+20x^2+8x\\\\(2g+4h)(x)=-8x+8x^3+20x^2+8x\qquad\text{cancel}\ 8x\\\\(2g+4h)(x)=8x^3+20x^2[/tex]

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