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Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(...

Range of `f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)),` where `[*]` denotes greatest integer function, is

A

`(0,(e+1)/e) cup {2}`

B

(0,1)

C

`(0,1] cup {2}`

D

`(0,1) cup {2}`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  8. If f(x) is a function f:R-> R, we say f(x) has property I. If f(f(x)) ...

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  10. Let f be a linear function with properties f(1)lef(2),f(3)gef(4)and ...

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  11. Suppose R is relation whose graph is symmetric to both X-axis and Y-ax...

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  12. The area between the curve 2{y} =[x] +1,0 leq y lt 1, where {.} and [....

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  13. If f(x)=sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(...

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  14. Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10...

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  15. Total number of values of x, of the form 1/n, n in N in the interval ...

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  16. The sum of the maximum and minimum values of the function f(x)=1/(1+(2...

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  17. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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  18. The range of values of a so that all the roots of the equations 2x^(3)...

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  19. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

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  20. Let f(x)=sqrt(|x|-{x})(w h e r e{ } denotes the fractional part of (x)...

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