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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Originally Posted by lsnyder 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=? $\displaystyle \frac {f(x + h) - f(x)}h = \frac {\frac 1{x + h + 6} - \frac 1{x + 6}}h$ now combine the fractions in the numerator, and see what cancels
i keep getting h/h, which is wrong on my homework.
Originally Posted by lsnyder i keep getting h/h, which is wrong on my homework. really? what did you get for $\displaystyle \frac 1{x + h + 1} - \frac 1{x + 1}$ ? it should be clear that the answer will not be h as you claim.
wouldn't it be just h? or did i miss something?
Originally Posted by lsnyder wouldn't it be just h? or did i miss something? have we forgotten how to add fractions? $\displaystyle \frac 1{x + h + 1} - \frac 1{x + 1} = \frac {-h}{(x + 1)(x + h + 1)}$ which means...?
okay i understand except where did -h come from?
Originally Posted by lsnyder 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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