Different Quotient f(x+h)-f(x)/h for f(x) = 8X^2-3

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Violagirl

Junior Member
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Mar 9, 2008
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I'm not sure if I'm doing this problem right.

Find and simplify the difference quotient f(x+h)-f(x)/h, h cannot equal 0 for the given function.

f(x)=8X^2-3.

I tried plugging it in so to start with I had 8(X^2+2Xh+h^2)-8X^2-3/h.

8X^2+16Xh+8h^2-8X^2-3/h. Then I found I was able to cancel out some of the variables and got 16X+8h-3 as an answer but I'm not sure if that's right.
 
Re: Different Quotients

8(X^2+2Xh+h^2)-8X^2-3/h
Click to expand...

a few mistakes, it should go ...

\(\displaystyle \frac{8(x^2+2xh+h^2)- 3 - (8x^2 - 3)}{h} = \frac{8(x^2+2xh+h^2)- 3 - 8x^2 + 3}{h}\)

now distribute, combine like terms, factor out the h in the numerator, and simplify.



btw, it's a difference quotient, not "different"
 
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