# Simplifying a function

• July 27th 2011, 10:55 AM
Fenixx09
Simplifying a function
Can someone help with this? Like always, I get stuck with something that doesn't match the choices like $\frac{\frac{2}{3+h}-\frac{2}{3}}{h}$
• July 27th 2011, 11:22 AM
Siron
Re: Simplifying a function
You've to simplify:
$\frac{\left(\frac{2}{3+h}-1\right)-\left(\frac{2}{3}-1\right)}{h}$

• July 27th 2011, 11:23 AM
skeeter
Re: Simplifying a function
Quote:

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 ...