Find domain and range of the following: (i) $f (x) = cos^{- 1} lo g_{[x]} \frac{[ x ]}{x}$ , where [.] denotes the greatest integer function (ii) $f (x) = lo g_{[x - 1]} sin x$ , where [ ] denotes greatest integer function.
Solution:

Question

Find domain and range of the following: (i) $f (x) = cos^{- 1} lo g_{[x]} \frac{[ x ]}{x}$ , where [.] denotes the greatest integer function (ii) $f (x) = lo g_{[x - 1]} sin x$ , where [ ] denotes greatest integer function.

Solution:

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