, where
, gives real values of
if and only if
Text Solution
Verified by ExpertsB
Apply Range Constraint:
For real values of
, we must satisfy
. This simplifies to

Verify the Inequality:
Since
and
are always non-negative real numbers, the inequality
is always true for any real parameters
and
.
Check the Denominator Constraints:
The expression only breaks down if it becomes mathematically undefined or collapses
Denominator cannot be zero: 
Parameters must be active non-zero variables:
and 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems