1.

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.]

Answer»

f(x) has isolated POINT remonable discontinuity at x=0
DOMAIN of f(x) is (-In 2, In 2)
Range of f(x) CONTAINS exactly 2 elements.
Rang of `f(x)={(pi)/(2)}`

Solution :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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