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The range of f(x) = sqrt((a-|x|)/((a+1) ...

The range of `f(x) = sqrt((a-|x|)/((a+1) - |x|)), (a gt 0)` is

A

[0, a]

B

`[0, oo) - [-sqrt((a)/(a+1)), sqrt((a)/(a+1))]`

C

`[0, sqrt((a)/(a+1))] cup (1, oo)`,

D

`[0, sqrt((a)/(a+1))+1]`

Text Solution

Verified by Experts

The correct Answer is:
C
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