The radical function
.
Domain is all possible values of
.
Note that a negative value under the square root sign is not possible.
\Value inside the square root should be greater than or equal to 0.
\
.
Solve the inequality
.
Consider
.
Solve the equation
.
and 
and
.
Solutions of the equation
are
.
Divide the solutions into three intervals
,
and
.
Now test sample values in each interval to determine whether values in the interval satisfy the inequality.
\| Interval | \Number chosen | \value of ![]() | \
Conclusion | \
![]() | \
![]() | \
![]() | \
Negative | \
![]() | \
![]() | \
![]() | \
Negative | \
![]() | \
![]() | \
![]() | \
Positive | \
From the above table, conclude that
for all numbers
for which
.
Solutions of the inequality
are
or
.
Domain of
is
.
Domain set is
.