The function is .
The domain of consists of all
for which
.
Solve the rational inequality . \ \
Exclude value of inequality is .
Solve the related equation
Excluded value and solution of inequality divide the - axis into three intervals
,
,
.
Now test the sample values in each interval to determine whether values in the interval satisfy the inequality.
\Test interval
At ,
The above statement is true.
\Test interval
At ,
The above statement is false.
\Test interval
At ,
The above statement is true.
\Conclude that solution of the inequality are or
.
The domain of is all real numbers and
The domain of is
.
The domain of is
.