The function
.
Theorem : Any rational function is continuous at every point of its domain.
\Numerator: The domain of the polynomial function
is
and it is continuous in its domain.
Denominator: The domain of polynomial function
is
and it is continuous in its domain.
Domain :
\All possible values of
is the domain of the function.
Domain of any polynomial function
.
Thus the function
is continuous at every number on
.
The function
is continuous on
.