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If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((...

If `f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1))` is an onto function, the set of values `a` is

A

`{-1/2}`

B

`[-1/2,-1)`

C

`(-1, infty)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

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  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

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