The function is 
The domain of a function is all values of x , those makes the function mathematically correct .
\Since there should not be denominator zero .
\Denominator
. The domain of
is all nonzero real numbers except at
.
We can conclude that
is continuous at every value of x except at
.
Interval on which the function is continuous on
.
At
function
has a non removable discontinuity.
Removable discontinuity at x = 1.
\Interval on which the function is continuous on
.