Let $g(x)=-1-3x+3x^2.$ Then the expression

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

can $be$ written $in$ the form $Ah+Bx+C,$ where $A,B,$ and $C$ are constants. $(Note$: It's possible for one $or$ more $of$ these constants $tobe0.)$

Write down the difference quotient, and $be$ careful when simplifying, all the way through subtractively canceling $in$ the numerator, and multiplicatively canceling the denominator.

$Ais$ the coefficient $of{h}_r$

$Bis$ the coefficient $ofx,$ and

$Cis$ the constant term.

after you've done the algebra and cancellation.

Find the constants.

$A=$

$B=$

$C=$