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Let f:R rarr [0, pi//2) defined by f(x)=...

Let `f:R rarr [0, pi//2)` defined by `f(x)=Tan^(-1)(x^(2)+x+a)`, then the set of value of a for which f is onto is

A

`[0, oo]`

B

`[2, 1]`

C

`[1/4, oo)`

D

none

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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)
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  2. The domain of Sin^(-1)[log(2)(x^(2)//2)] is

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  3. Let f:R rarr [0, pi//2) defined by f(x)=Tan^(-1)(x^(2)+x+a), then the ...

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  7. The domain of the function f(x)=sqrt(Sec^(-1)((1-|x|)/(2))) is

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  8. The domain of f(x)=(Sec^(-1)(x)/(sqrt(x-[x]))) is

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  11. The domain of f(x)=sqrt(1-3x)+5Sin^(-1).(2x-1)/(3) is

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  12. The doamin of sqrt(1-3x)+Cos^(-1).(3x-1)/(2) is

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  13. The domain of Cos^(-1)(2x-3)+sqrt(9-4x^(2)) is

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  14. The domain of the function f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))), is

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  15. If [x] denotes the integral part of x, then domain of the function f(x...

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  16. The domain of f(x)=sqrt(x+1)+(1)/(log(10)(2-x)) is

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  17. The domain of f(x)=(3)/(4-x^(2))+log(10)(x^(3)-x) is

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  18. The domain of sqrt(cos(sinx))+Sin^(-1)((1+x^(2))/(2x)) is

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  19. The domain of f(x)=Sin^(-1)((1+x^(2))/(2x))+sqrt(1-x^(2)) is

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  20. The domain of the function f(x)=sqrt(4-x^(2))

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