# Math Help - Simplifying a function

1. ## Simplifying a function

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

2. ## Re: Simplifying a function

You've to simplify:
$\frac{\left(\frac{2}{3+h}-1\right)-\left(\frac{2}{3}-1\right)}{h}$

3. ## Re: Simplifying a function

Originally Posted by Fenixx09
Can someone help with this? Like always, I get stuck with something that doesn't match the choices like $\frac{\frac{2}{3+h}-\frac{2}{3}}{h}$
$\frac{\frac{2}{3+h}-\frac{2}{3}}{h}$

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

common denominator ...

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

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

finish it ...