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If `f(x)=sin^(-1)[e^(x)]+sin^(-1)[e^(-x)]` then which of the following hold(s) good ? [Note: where [k] denotes the larest integer than or equal to k.]A. f(x) has isolated point remonable discontinuity at x=0B. domain of f(x) is (-In 2, In 2)C. Range of f(x) contains exactly 2 elements.D. Rang of `f(x)={(pi)/(2)}` |
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Answer» Correct Answer - A For domain of f(x), `e^(x)in(0,2)ande^(-x)in(0,2)` `:.x in(-ln2,ln2)` `"Now, "f(x)={:[(pi,,,x-0),((pi)/(2)",",,,x in(-ln2,ln2)-{0}):}` |
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