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Math Help - I need help on different quotient

  1. #1
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    I need help on different quotient

    F(x)= 1/(x+6).

    I know the formula is F(x+h) -F(x)/ h.

    Yet it goes in more detail saying to simplify the form -1/B to B=?
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    Quote Originally Posted by lsnyder View Post
    F(x)= 1/(x+6).

    I know the formula is F(x+h) -F(x)/ h.

    Yet it goes in more detail saying to simplify the form -1/B to B=?
    \frac {f(x + h) - f(x)}h = \frac {\frac 1{x + h + 6} - \frac 1{x + 6}}h

    now combine the fractions in the numerator, and see what cancels
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  3. #3
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    i keep getting h/h, which is wrong on my homework.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by lsnyder View Post
    i keep getting h/h, which is wrong on my homework.
    really?

    what did you get for \frac 1{x + h + 1} - \frac 1{x + 1} ? it should be clear that the answer will not be h as you claim.
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  5. #5
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    wouldn't it be just h? or did i miss something?
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    Quote Originally Posted by lsnyder View Post
    wouldn't it be just h? or did i miss something?
    have we forgotten how to add fractions?

    \frac 1{x + h + 1} - \frac 1{x + 1} = \frac {-h}{(x + 1)(x + h + 1)}

    which means...?
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  7. #7
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    okay i understand except where did -h come from?
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  8. #8
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    Quote Originally Posted by lsnyder View Post
    okay i understand except where did -h come from?
    i added the fractions, there are several ways to do this, pick your favorite method. finding the common denominator etc etc etc
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