Can anyone demonstrate the difference quotient f(x) = -6/sqrt(3-4x)

I have worked on that problem for an hour.. tried a few different things.. and I'm flat out lost...

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- September 6th 2010, 04:16 PMChimeraTrouble with difference quotient.
Can anyone demonstrate the difference quotient f(x) = -6/sqrt(3-4x)

I have worked on that problem for an hour.. tried a few different things.. and I'm flat out lost... - September 6th 2010, 04:27 PMpickslides

Where to now?

Where are you stuck?

Hint: Make a common denominator in the numerator. - September 6th 2010, 04:35 PMChimera
i have gotten so far as -6(sqrt(3-4x-4h) + 6(sqrt(3-4x) / h(sqrt(3-4x))(sqrt(3-4x-4h) however, from there I become unsure what to do. I've thought about multiplying the sqrt on the bottom to give (h)(3+4x)(sqrt(-4h) then multiplying top and bottom by (sqrt(-4h) however, for some reason it seems like doing that is just going to end up leading me in circles.. I thought about multiplying the top using the difference of squares.. but, then that complicates the bottom even more..

If that is what I have to do I will do it.. but, it seems unrealistic to go that route because, I would think I would ultimately complicate the top again clearing the bottom.. - September 6th 2010, 04:36 PMskeeter