Answer
$-3$
Work Step by Step
RECALL:
$\\\\$The difference quotient of a function $f$ is given by the formula $\dfrac{f(x+h)-f(x)}{h}$ where $h \ne0$.
Use the difference quotient formula above to obtain:
$\dfrac{f(x+h)-f(x)}{h}\\
=\dfrac{[-3(x+h)+1]-(-3x+1)}{h}\\
=\dfrac{-3x-3h+1-(-3x+1)}{h}\\
=\dfrac{-3x-3h+1+3x-1}{h}\\
=\dfrac{-3h}{h}\\
=-3$
