Home
Class 11
MATHS
If f:[1, infty)rarr[2, infty) given by f...

If `f:[1, infty)rarr[2, infty)` given by f(x)=x+1/x then find `f^(-1)(x)`, (assume bijective).

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

If f:[1,infty)rarr[2,infty) is defined as f(x)=x+(1/x) then find f^(-1)(x)

If f(x)=x^2+3 , then find f^-1(x)

If f(x)=5x^2 , then find f^-1(x) .

If f(x)=x^2 -6 , then find f^-1(x) .

If f(x)=x^5+1 , then find f^-1(x) .

If f(x)=x^4+1 , then find f^-1(x) .

If f(x)=3x^2-x+1 , then find f(-1)

If f(x)=x^2-2x+1 , then find f(1)

If the function f:[1, infty) rarr [1, infty) is defined by f(x)=2^(x(x-1)) , then find f^(-1)(x)

If f(x)=x^2-3x+1 , then find f(-2)

PATHFINDER-FUNCTION-QUESTION BANK
  1. Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then fo...

    Text Solution

    |

  2. Two functions are defined as under, f(x)={(x+1, x le1),(2x+1, 1ltxle2)...

    Text Solution

    |

  3. If f:[1, infty)rarr[2, infty) given by f(x)=x+1/x then find f^(-1)(x),...

    Text Solution

    |

  4. Let f:[1//2, infty)rarr[3//4, infty) where f(x)=x^2-x+1. Find the inve...

    Text Solution

    |

  5. Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...

    Text Solution

    |

  6. If the function f:R rarr A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|...

    Text Solution

    |

  7. Let f:R rarr R defined by f(x)= x^2/(1+x^2). Prove that f is neither i...

    Text Solution

    |

  8. Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3). Is '...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the domain of the following : f(x)=^(16-x)C(2x-1)+ ^(20-3x)P(4x-...

    Text Solution

    |

  11. Find the domain of the following : f(x)=sin^(-1)((3-2x)/5)+sqrt(3-x)

    Text Solution

    |

  12. Find the domain of the following : f(x)=sqrt(x^2-|x|-2)

    Text Solution

    |

  13. Find the domain of the following : f(x)=log(2x)3/(cos^(-1)(2x-1))

    Text Solution

    |

  14. Find the range of the following function f(x)=max{sinx, cosx}

    Text Solution

    |

  15. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

    Text Solution

    |

  16. Find the domain and range for f(x)=[log(sin^(-1)sqrt(x^2+3x+2))],

    Text Solution

    |

  17. Determine whether even or odd: f(x)=x((a^x+1)/(a^x-1))

    Text Solution

    |

  18. A function is defined for all real numbers is defined for xgt0 as foll...

    Text Solution

    |

  19. A function is defined for all real numbers is defined for xgt0 as foll...

    Text Solution

    |

  20. Show that the function f(x)=(2x(sinx+tanx))/(2[(x+21pi)/pi]-41) is sym...

    Text Solution

    |