Functions

**skabani** · September 14th 2007, 10:47 PM

If anyone could help me out in this, it would be greatly appreciated

1. for the given linear function compute the quotient
[f(x+h) -f(x)]/ h

where h is constant.

f(x) = -9x^2 + 12

this is the exact wording, so if it seems confusing, i dont know how else to put it...thanks....

**red_dog** · September 14th 2007, 11:45 PM

$f(x+h)=-9(x+h)^2+12=-9x^2-18xh-9h^2+12$
$\displaystyle\frac{f(x+h)-f(x)}{h}=\frac{-9x^2-18xh-9h^2+12+9x^2-12}{h}=$
$\displaystyle=\frac{h(-18x-9h)}{h}=-18x-9h$

**Krizalid** · September 15th 2007, 07:28 AM

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