Difference quotient for $$$f{\left(x \right)} = 4$$$

Find the difference quotient for $$$f{\left(x \right)} = 4$$$.

The difference quotient is given by $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h}$$$.

To find $$$f{\left(x + h \right)}$$$, plug $$$x + h$$$ instead of $$$x$$$: $$$f{\left(x + h \right)} = 4$$$.

Finally, $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h} = \frac{4 - 4}{h} = 0$$$.

The difference quotient for $$$f{\left(x \right)} = 4$$$A is $$$0$$$A.