courtneymatthews980 courtneymatthews980
  • 23-02-2021
  • Mathematics
contestada

-3x^2+ 3
What is the difference quotient

Respuesta :

imawolf
imawolf imawolf
  • 23-02-2021

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

[tex]f(x)=-3x^{2}+3[/tex]

Consider the difference quotient formula.

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

Find the components of the definition.

[tex]f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3[/tex]

Plug in the components.

[tex]\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}[/tex]

Simplify

[tex]\frac{3h(-h-2x)}{h}[/tex]

-6x - 3h

good luck, i hope this helps :)

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