Answer
$(c)\; x=0$.
Work Step by Step
The given expression is
$=\frac{x^2-1}{x} $
(a) Substitute $x=3$.
$=\frac{3^2-1}{3} $
Simplify.
$=\frac{9-1}{3} $
$=\frac{8}{3} $.
(b) Substitute $x=1$.
$=\frac{1^2-1}{1} $
Simplify.
$=\frac{1-1}{1} $
$=\frac{0}{1} $
$=0$.
(c) Substitute $x=0$.
$=\frac{0^2-1}{0} $
Simplify.
$=\frac{0-1}{0} $
$=\frac{-1}{0} $
Not defined.
(d) Substitute $x=-1$.
$=\frac{(-1)^2-1}{-1} $
Simplify.
$=\frac{1-1}{-1} $
$=\frac{0}{-1} $
$=0$.
Hence, the correct answer is $(c)\; x=0$.
