Home
Class 12
MATHS
The inverse of the function f(x)=(x ^(4...

The inverse of the function ` f(x)=(x ^(4) +x^(2) +1)/(x ^(2))` is-

A

`f ^(-1) (x)=1/2(sqrt(x+1)+sqrt(x-3))`

B

`f ^(-1)(x)= sqrt(x-1)+sqrt(x-3)`

C

`f ^(-1) (x)=1/2 (sqrt(x+1) -sqrt(x-3))`

D

`f ^(-1) (x)=sqrt(x+1) -sqrt(x-3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Find the inverse of the function f(x)=(x^4+x^2+1)/x^2

The inverse of the function f(x)=(e^x-e^(-x))/(e^x+e^(-x))+2 is given by

The inverse of the function f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is -

For the function f(x)=2x^2-In|x|

Find the inverse of the function: f(x)={(x^3-1, ,x<2), (x^2+3,xgeq2)}

Find the inverse function of the function f(x) = 2^(x(x - 1)) (x gt 0) .

Find the range of the function f(x)=x^2-2x-4.

Find the domain of the function f(x) =(x^(2)+2x+1)/(x^(2)-8x+12)

If g is the inverse of a function f and f'(x)=(1)/(1+x^(5)) , then g'(x) is equal to-

If the inverse function of y=f(x) is x=g(y) and f'(x)=(1)/(1+x^(2)) , then prove that g'(x)=1+[g(x)]^(2) .

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. Out of 40 boys 30 can swim, 27 can play chess and only 5 can fo neithe...

    Text Solution

    |

  2. For two sets A and B , the three elements of AxxB are (a,x), (b,y) , ...

    Text Solution

    |

  3. The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and th...

    Text Solution

    |

  4. Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= ...

    Text Solution

    |

  5. The inverse of the function f(x)=(x ^(4) +x^(2) +1)/(x ^(2)) is-

    Text Solution

    |

  6. The period of the functionf(x)= tan 4x is-

    Text Solution

    |

  7. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  8. Domain of definition of the function f(x) =sin ^(-1) [log (2)((1)/(2)x...

    Text Solution

    |

  9. The value of lim (xto0) (2^(x)-1)/(sqrt(1+x)-1) is-

    Text Solution

    |

  10. The range of the function y= (1)/(4-sin 2x) is-

    Text Solution

    |

  11. The value of lim (xto0) (tan x-sin x)/(x ^(3)) is equal to-

    Text Solution

    |

  12. The function f(x) =(1-sin x+cos x)/(1+sin x+cos x) is defined at x=pi....

    Text Solution

    |

  13. If f(x)=log("tan"(x)/(2)), then the value of f'(x) is -

    Text Solution

    |

  14. If f(x)=3x^(2)+k|sin x| is differentiable at x=0 then the value of k i...

    Text Solution

    |

  15. The derivative of f(x)=|x|^(3) at x=0 does / is-

    Text Solution

    |

  16. Let f(x) {{:((1)/(x),"when " x ge1),(a (x^(2)-1)+1, "when " x lt1):} ...

    Text Solution

    |

  17. Let x and y be two irrational numbers , state which of the following i...

    Text Solution

    |

  18. The function f(x) is defined by f(x)= {{:((x^(2) +e ^((1)/(2-x)))^(-1)...

    Text Solution

    |

  19. The value of lim (xtopi) (sqrt(1+cos x)-1)/((pi-x)^(2)) is-

    Text Solution

    |

  20. The period of sin^(2) theta is-

    Text Solution

    |