Find the Domain of the function f(X)=sin^-1([x]-1)/x where [.]Denotes the greatest integer function
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Step-by-step explanation:
We know that the range of sin −1 is [−π/2, π] and domain is [−1,1]
Now in f(x)=sin(x+[x])
The input should be in the domain [−1,1]
x+[x]≥−1
⇒x≥0
and x+[x]≤1
⇒x≤1
However, [x] is discontinuous at x=1
Hence domain, of f(x)=sin −1
(x+[x]) is [0,1)
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