Question

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

Answer 1

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

$f(x)=-3x^{2}+3$

Consider the difference quotient formula.

$\frac{f(x+h)-f(x)}{h}$

Find the components of the definition.

$f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3$

Plug in the components.

$\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}$

Simplify

$\frac{3h(-h-2x)}{h}$

-6x - 3h

good luck, i hope this helps :)