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 :)
