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If f(x)=1+1//x, g(x)=sqrt(1-x^(2)) , the...

If `f(x)=1+1//x, g(x)=sqrt(1-x^(2))` , then the domain of `f(x)-g(x)` is

A

`[1, 5)uu(5, 7]`

B

`[-7, 1]uu(1, 7]`

C

`[-1, 0)uu(0, 5]`

D

`[-1, 0)uu(0, 1]`

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

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  2. The domain of the function f(x)=sqrt(x-1)+sqrt(6-x) is

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  3. If f(x)=1+1//x, g(x)=sqrt(1-x^(2)) , then the domain of f(x)-g(x) is

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  4. If f(x)=x^(2) for xlt 0, f(x)=x for 0ltxlt1, f(x)=1//x for x gt1 then ...

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  5. If f(x)=sqrt(1+x)-3sqrt(4-x), then f(x) is defined when x lies in

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  6. Find the domain of the real function (sqrt(2+x)+sqrt(2-x))/(x)

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  7. The domain of (sqrt(3+x)+sqrt(3-x)) is

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  8. Domain of (log(x-2))/(sqrt(3-x)) is

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  9. If f(x)=log(cosx), then domain f=

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  10. If f(x)=log(sinx), then domain f=

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  11. The largest interval lying in (-pi/2, pi/2) for which the function f(x...

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  12. The domain of log [((sqrt(4-x)^(2)))/(1-x)] is

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  13. The domain of Sin^(-1)[log(2)(x^(2)//2)] is

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

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  15. The domain of f(x)=Tan^(-1)sqrt(x(x+3))+Sin^(-1)sqrt(x^(2)+3x+1) is

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  16. The domain of the function sqrt((1)/(|cosx|)) is

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  17. The domain of f(x)=Cot^(-1)((x)/(sqrt(x^(2)-[x^(2)]))) is

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

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

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  20. The domain of x^((1)/(logx)) is

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