Home
Class 11
MATHS
Let f:[0,1]rarr[0,1] defined by f(x)=(1...

Let` f:[0,1]rarr[0,1]` defined by ` f(x)=(1-x)/(1+x)`for`0lexle1` and let g:[0,1]rarr[0,1] defined by`g(x)=4x(1-x),0lexle1`.if range of fog (x)is `[alpha,beta]`,then `alpha+beta` equals

Text Solution

Verified by Experts

[6]
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

The function f:[0,3]rarr[1,29] , defined by f(x)=2x^3-15x^2+36x+1 is

Let f:RRtoRR be defined by f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR is defined by g(x) = min(fx),0), h(x) = max(f(x),0) Range of g(x) will be____

If f: [2,3) rarr [0,1) is defined by f(x)=x-[x] , the fractional part of x, then f^-1(x)

Let the mapping f:[0. infty) rarr [0,2] be defined by, f(x)=(2x)/(x+1) then mapping f will be ____

Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)=x for at least one 0lt=xlt=1.

Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x) . Then f is

Let f:RRtoRR be defined by f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR is defined by g(x) = min(fx),0), h(x) = max(f(x),0) f:RR to RR will be___

Let R be the set of all real numbers and f: [1,-1]rarrR be defined by f(x)={(xsin(1/x),xne0),(0,x=0):}

Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find the range of f.

Consider the 2-place Boolean function f :{0,1} rarr{0,1} defined by f(x_1 , x_2)= x_1+x_2.x_2 Then following f(0,1) is equal to

PATHFINDER-FUNCTION-QUESTION BANK
  1. Let n(A)=4 and n(B)=6 ,then the number of one one functions from A to ...

    Text Solution

    |

  2. If f(x)f(y)+2=f(x)+f(y)+f(xy) AA x,y in R and f(1)=f'(1)=2, then sgn (...

    Text Solution

    |

  3. Let f:[0,1]rarr[0,1] defined by f(x)=(1-x)/(1+x)for0lexle1 and let g:...

    Text Solution

    |

  4. If f(x)=1+x^2and f(g(x))=1+x^2-x^3+x^4,g(2)=2,then g(3) equals

    Text Solution

    |

  5. f(x) is a polynomial satisfying f(x).f(y)=f(x)+f(y)+f(xy)=2, AAx,y in ...

    Text Solution

    |

  6. Find the domain of each of the following functions: f(x)=sqrt(x+2)

    Text Solution

    |

  7. Find the domain of each of the following functions: f(x)=1/sqrt(2x^2-7...

    Text Solution

    |

  8. Find the domain of each of the following functions: f(x)=sqrt(x^2-3x+2...

    Text Solution

    |

  9. Find the renge of each of the following functions: f(x)=(x^2-5x+6)

    Text Solution

    |

  10. Find the domain of each of the following functions: f(x)=sqrt(sinx-1)

    Text Solution

    |

  11. Find the domain of each of the following functions: f(x)=1/sqrt(x-1)

    Text Solution

    |

  12. Find the range of the following function : f(x)=(x^2+2x+3)

    Text Solution

    |

  13. Find the range of the following function : f(x)=sqrt(x^2-x+1)

    Text Solution

    |

  14. Find the range of the following function : f(x)=3sinx+4cosx-5

    Text Solution

    |

  15. Find the range of the following function : f(x)=In(x-[x]),where[.]deno...

    Text Solution

    |

  16. Which of the following functions are even/odd, and which are neither e...

    Text Solution

    |

  17. Which of the following functions are even/odd, and which are neither e...

    Text Solution

    |

  18. Which of the following functions are even/odd, and which are neither e...

    Text Solution

    |

  19. Which of the following functions are even/odd, and which are neither e...

    Text Solution

    |

  20. Examine whether the following functions are periodic or not. Write the...

    Text Solution

    |