Math, asked by aditya8385, 18 days ago

Find the Domain of the function f(X)=sin^-1([x]-1)/x where [.]Denotes the greatest integer function​

Answers

Answered by anamikacc959
0

Answer:

sorry I don't know Answer

Answered by Nitin972e
0

Answer:

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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