Answer
a) See graph
b) $x=\dfrac{1}{3}$
Work Step by Step
We are given the function:
$f(x)=\dfrac{3x-1}{x-6}$
a) Graph the function.
From the graph the zero is:
$x=\dfrac{1}{3}$
b) Determine the zeros algebraically:
$f(x)=0$
$\dfrac{3x-1}{x-6}=0$
$3x-1=0$
$3x=1$
$x=\dfrac{1}{3}$