Home
Class 12
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

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 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 =

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Which of the following functions have the graph symmetrical about the ...

    Text Solution

    |

  2. The range of given function f(x)=^(7-x)P(x-3) is given by

    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. If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in R an...

    Text Solution

    |

  5. Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",", x ge 3):} and g(x)={(x-3"...

    Text Solution

    |

  6. Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n...

    Text Solution

    |

  7. If f:{1,2,3....}->{0,+-1,+-2...} is defined by f(n)={n/2, if n is ...

    Text Solution

    |

  8. If f: Rrarr[0,oo)is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), th...

    Text Solution

    |

  9. If p and q are positive integers, f is a function defined for positive...

    Text Solution

    |

  10. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  11. Show that any function can be expressed as the sum of an odd function ...

    Text Solution

    |

  12. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  13. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  14. Let f(x)=log2 log3log4log5(sin x+a^2). Find the set of values of a for...

    Text Solution

    |

  15. Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2...

    Text Solution

    |

  16. If fa n dg are two distinct linear functions defined on R such that th...

    Text Solution

    |

  17. Let f(x)=x^2-2x ,x in R ,a n dg(x)=f(f(x)-1)+f(5-f(x))dot Show that ...

    Text Solution

    |

  18. Let f:XtoY be a function defined by f(x)=asin(x+pi/4)+bcosx+c. If f is...

    Text Solution

    |

  19. If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx ...

    Text Solution

    |

  20. Let R="{"x , y")": x , y in R ,x^2+y^2lt=25}andR^(prime)={(x , y): x ...

    Text Solution

    |