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Let f: d rarr R be defined by f(X)=In (I...

Let `f: d rarr R` be defined by `f(X)=In (In(In(In x)))` then

A

f(X) is into

B

f(x) is many one

C

`D=(e^e, oo)`

D

none of these

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The correct Answer is:
C
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. If the range of the function y=(x-1)/(a-x^2+1) does not contain any va...

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  3. Let f: d rarr R be defined by f(X)=In (In(In(In x))) then

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  4. Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi] and g(x)=max{1,|x-1|} x in R...

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  5. Let f(x)=(e^-x)/(1+[x]), then

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  6. The value(s) of a, for which (x^3-6x^2+11x-6)/(x^3+x^2-10x+8) + a/30 =...

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  7. f(x) is real valued function, satisfying f(x+y)+f(x-y)=2f(X),f(y) for ...

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  8. If S is the set of all real numbers x for which (2x-1)/(2x^3+3x^2+x) g...

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  9. If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x...

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  10. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

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  11. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

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  12. If f(x)=x/(x^2+1) and f(A)={y:-1/2 le y lt 0}, then set A is

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  13. If f(x)=cos([pi^2|x)+cos([-pi^2|x), where [x] stands for the greatest ...

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  14. Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer fun...

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  15. f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

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  16. If [x] denotes the greatest integer less than or equal to x, the extre...

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  17. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  18. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  19. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  20. Let x in R be any real number such that xlies between any two consecut...

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