hazrey hazrey
  • 25-12-2020
  • Mathematics
contestada

f(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0

Respuesta :

gmany
gmany gmany
  • 25-12-2020

Answer:

[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}[/tex]

[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0[/tex]

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