Home
Class 12
MATHS
If f = R rightarrow R is defined by f(x...

If ` f = R rightarrow R` is defined by `f(x) = |x|`, then,

A

`f^(-1)(x) = -x`

B

`f^(-1)(x) = (1)/|x|`

C

the function `f^(-1)(x)` does not exist

D

`f^(-1)(x) =(1)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If f : R rarr R is defined by f(x) = [x-3]+|x-4| for x in R , then lim_(x rarr 3^(-)) f(x) is equal to

If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

Define a modulus function.If the function f:R rarr R is defined by f(x) =|x| ,draw the graph of the function .Write the domain and range of f.(R is the set of real numbers).

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

Let f: R to R be defined by f(x) = x^(4) , then

Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

If f : R to R defined by f(x) = 1+x^(2), then show that f is neither 1-1 nor onto.

If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,-2}),(-1, x=-2),(0, x = -1):} then f is continuous on the set

If f : R rarr R is defined by f(x) = {((cos3x-cosx)/x^(2), x ne 0),(lambda, x = 0):} and if f is continuous at x = 0 then lambda is equal to

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2007-MATHEMATICS
  1. If A={:[(0,x,16),(x,5,7),(0,9,x)]:} is singular, then the possible val...

    Text Solution

    |

  2. If A= [[1 ,-2, 2],[0, 2, -3],[3 ,-2, 4]], then A . adj A=

    Text Solution

    |

  3. If f = R rightarrow R is defined by f(x) = |x|, then,

    Text Solution

    |

  4. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  5. The imaginary part of i' is

    Text Solution

    |

  6. The amplitude of (1 + i)^(5) is

    Text Solution

    |

  7. ABC is a triangle.G is the centroid.D is the mid point of BC.If A =(2,...

    Text Solution

    |

  8. lim(x-1)(tan(x^(2)-1))/(x-1) is equal to

    Text Solution

    |

  9. If y = 2^(log x), then (dy)/(dx) is

    Text Solution

    |

  10. 7^(2log(7)^(5)) is equal to

    Text Solution

    |

  11. In the group (G,oplus(15)) where G={3,6,9,12}, oplus(15) is multiplica...

    Text Solution

    |

  12. A group (G,*) has 10 elements. The minimum number of elements of G, wh...

    Text Solution

    |

  13. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

  14. (3x^(2) + 1)/(x^(2) -6x + 8) is equal to

    Text Solution

    |

  15. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  16. If 3x + y + k = 0 is a tangent to the circle x^(2) + y^(2) = 10, the v...

    Text Solution

    |

  17. The negation of the proposition "If2 is prime, then 3 is odd" is

    Text Solution

    |

  18. The equation of two circles which touch the Y-axis at (0, 3) and make ...

    Text Solution

    |

  19. The orthocentre of the triangle with vertices A(0,0), B(0, (3)/(2)), C...

    Text Solution

    |

  20. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

    Text Solution

    |