Can someone help with this? Like always, I get stuck with something that doesn't match the choices like $\displaystyle \frac{\frac{2}{3+h}-\frac{2}{3}}{h}$

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- Jul 27th 2011, 10:55 AMFenixx09Simplifying a function
Can someone help with this? Like always, I get stuck with something that doesn't match the choices like $\displaystyle \frac{\frac{2}{3+h}-\frac{2}{3}}{h}$

- Jul 27th 2011, 11:22 AMSironRe: Simplifying a function
You've to simplify:

$\displaystyle \frac{\left(\frac{2}{3+h}-1\right)-\left(\frac{2}{3}-1\right)}{h}$

Show us your steps ... - Jul 27th 2011, 11:23 AMskeeterRe: Simplifying a function
$\displaystyle \frac{\frac{2}{3+h}-\frac{2}{3}}{h}$

$\displaystyle \frac{1}{h}\left(\frac{2}{3+h} - \frac{2}{3}\right)$

common denominator ...

$\displaystyle \frac{1}{h}\left(\frac{6}{3(3+h)} - \frac{2(3+h)}{3(3+h)}\right)$

$\displaystyle \frac{1}{h}\left(\frac{6 - 2(3+h)}{3(3+h)}\right)$

finish it ...