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let f (x) = sin ^(-1) ((2g (x))/(1+g (x)...

let `f (x) = sin ^(-1) ((2g (x))/(1+g (x)^(2))),` then which are correct ?
(i) f (x) is decreasing if `g (x)` is increasig and `|g (x) gt 1`
(ii) `f (x)` is an increasing function if `g (x)` is increasing and `|g (x) |le 1`
(iii) f (x) is decreasing function if ` f(x)` is decreasing and `|g (x) | gt 1`

A

(i) and (iii)

B

(i) and (ii)

C

(i) (ii) and (iii)

D

(iii)

Text Solution

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The correct Answer is:
B
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