## Precalculus (6th Edition) Blitzer

The difference quotient for the provided function is $7$.
Consider the provided function: $f\left( x \right)=7x$. Now, substitute $x=x+h$ in the above equation to find $f\left( x+h \right)$ That is, $f\left( x+h \right)=7\left( x+h \right)$ Now, apply the difference quotient formula, \begin{align} & \frac{f\left( x+h \right)-f\left( x \right)}{h}=\frac{7\left( x+h \right)-7x}{h} \\ & =\frac{7x+7h-7x}{h} \\ & =\frac{7h}{h} \\ & =7 \end{align} Hence, the difference quotient for the provided function is $7$.