Question

calculate and simplify the difference quotient g(x+h)-g(x)---------------- h

Answer 1

To simplify this we have

$\begin{gathered} \frac{g(x\text{ + h) - g(x)}}{h}\text{ } \\ \frac{gx\text{ + gh - gx}}{h} \\ \frac{gh}{h} \\ =\text{ g} \end{gathered}$