Home
Class 11
MATHS
Let f(x)=max{1+sinx,1,1-cosx}, xin[0,2pi...

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

A

g(f(0))=10

B

f(g(0))=1+sin 1

C

f(g(1))=1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos
  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

f(x)= min{1, cosx, 1-sinx}, -pilexlepi then

Let f(x)=sin x+cosx and g(x)=x^(2)-1 , then g{f(x)} is invertible if -

Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x 0)g(f(x)).

Let A = {-1,0,1,2},B= {-4,-2,0,2}and f , g , A to B be functions defined by f (x) =x ^(2) - x, x in A and g (x) =2 |x - (1)/(2) |-1, x in A Are f and g equal ? Justify your answer.

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Let f(x)=max{sinx,cosx}AA"x"inR then number of critical points of f(x) in (0,2pi) is

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain ?.

Let f(x) = tan^(-1) ((1+cos x)/(sinx)) and g (x) = tan^(-1) ((sinx)/(1-cos x)) int {f(x) - g (x)}dx =

Let f(x) = tan^(-1) ((1+cos x)/(sinx)) and g (x) = tan^(-1) ((sinx)/(1-cos x)) int {f(x)+g(x)}dx =

Let f(x) = tan^(-1) ((1+cos x)/(sinx)) and g (x) = tan^(-1) ((sinx)/(1-cos x)) int f(x) dx =

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |