#### Answer

The difference quotient for the given function is $0$

#### Work Step by Step

$f(x)=6$
Find the difference quotient $\dfrac{f(x+h)-f(x)}{h}$
Since $f(x)$ is a constant function, $f(x+h)=f(x)=6$
Substitute the known values into the formula for the difference quotient and simplify:
$\dfrac{f(x+h)-f(x)}{h}=\dfrac{6-6}{h}=\dfrac{0}{h}=0$
The difference quotient for the given function is $0$