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Math Help - Evaluate and simplfy this expression

  1. #1
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    Evaluate and simplfy this expression

    The question is:

    Evaluate and simplify the expression

    [ f(x+h)-f(x) ] / h ; h =/= 0

    for f(x) = 1/(x+3).

    I know how to plug in the function into the expression...
    but for some reason I don't remember where to go from there.
    How would you simplify it?

    Thanks
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  2. #2
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    You have [LaTeX ERROR: Convert failed]

    Let \frac{1}{x+h+3} = a and \frac{1}{x+3} = b, then h = \frac{1}{a}-\frac{1}{b}, so:

    [LaTeX ERROR: Convert failed]
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  3. #3
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    Whoa.
    Uh.
    Sorry, maybe I didn't specify, but I just need to know how to algebraically simplify the expression.
    I think you used calculus in there somewhere...
    hahaha I have no idea what that says.

    This might sound stupid, but I just need to know how to simplify the fractions once you plug in f(x) into the expression.
    I'm having this massive brain fart the night before the test hahaha..

    thanks
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  4. #4
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    Quote Originally Posted by jellyksong View Post
    Sorry, maybe I didn't specify, but I just need to know how to algebraically simplify the expression.
    Well, that's what I'd done, and it's what the question asks.

    Anyway, is this what you wanted?

    [LaTeX ERROR: Convert failed]

    [LaTeX ERROR: Convert failed]
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  5. #5
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    OH, I get it now hahaha
    you have to make a common denominator...

    Thank you so much!
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