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{10}{3} $.
(b) Substitute $x=1$.
$=\frac{1^2+1}{1} $
Simplify.
$=\frac{1+1}{1} $
$=\frac{2}{1} $
$=2$.
(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{2}{-1} $
$=-2$.
Hence, the correct answer is $(c)\; x=0$.
