kimmy477 kimmy477
  • 05-04-2019
  • Mathematics
contestada

if f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)​

Respuesta :

gmany
gmany gmany
  • 06-04-2019

Answer:

[tex]\large\boxed{(f-g)(x)=3x^2+6}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6[/tex]

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