![\bf f(x)=\cfrac{3}{x+6}\qquad \qquad \cfrac{f(a+h)-f(a)}{h}\implies \cfrac{\frac{3}{a+h+6}-\frac{3}{a+6}}{h} \\\\\\ \textit{so our LCD will then be }(a+h+6)(a+6)\textit{ for the numerator} \\\\\\ \cfrac{\frac{[3(a+6)]~~-~~[3(a+h+6)]}{(a+h+6)(a+6)}}{h}\implies \cfrac{\frac{[3a+18]~~-~~[3a+3h+18]}{(a+h+6)(a+6)}}{h}](/tpl/images/0282/5866/64b01.png)
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