CBSE Class 11-science Answered
The solution to your problem is as forllows -
therefore when x=3 or x=2, y is undefined.
=> Domain of f(x) =
Now as x is real, therefore y2+4y must be greater than or equal to zero.
=> y2+4y >= 0
=> y(y+4) >= 0
There are now three cases,
1) y >= 0 and y >= -4
=> y ∈ (0,infinity)
2) y >= 0 and y <= -4
This results in an empty set, as no y can be both greater than 0 and less than -4 simultaneously.
3) y <= 0 and y <= -4
=> y ∈ ( - infinity, -4)
Taking the union of the three sets obtained, we get the range of f(x) as,
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