Answer
See graph below
Work Step by Step
The given equation cannot have a denominator equal to zero. Therefore, its graph has a vertical asymptote at
$$\begin{aligned}
x-1&=0
\\
x&=1
.\end{aligned}
$$
Dividing each term of the right-hand expression by the highest exponent of $x$, then
$$\begin{aligned}
y&=\frac{\frac{x}{x}}{\frac{x}{x}-\frac{1}{x}}
\\&=
\frac{1}{1-0}
&\left(\frac{1}{x}=0\text{ for large values of }x\right)
\\&=
1
.\end{aligned}
$$Hence, the given equation has a horizontal asymptote of $y=1$
Using the asymptotes above and a table of values, the graph of the given equation is shown below.
