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Math Help - Difference quotient again :(

  1. #1
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    Oct 2009
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    Difference quotient again :(

    Another difference quotient question... rather annoying but here it goes!

    Find the difference quotient \frac {f(a + h) - f(a)}{h} for f(x) = \sqrt{3x + 1}

    I tried to work it out, and wasn't sure how far down they wanted me to take it... so basically I ended it with this:

    \frac {\sqrt{3a + 3h + 1} - \sqrt{3a + 1}}h

    From here, it wouldn't really make sense to do anything else, correct? That is about as simplified as you can go without multiplying the denom by radicals, correct?

    Let me know if i'm wrong. Appreciate it.
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  2. #2
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    Oct 2009
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    Ok... I guess i'm supposed to multiple by the conjugate radical?

    If so... is it 3(a+h)+1 or is it 3a+h+1.

    Basically, would I multiply the a and the h BOTH by 3?

    Thanks.
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