Home
Class 12
MATHS
The mapping f:R^+ rarr R defined by f(x)...

The mapping `f:R^+ rarr R` defined by `f(x) = log_{10}x`, (Where `R^+` is the set ofall positive real numbers) is

A

only one-one mapping

B

only onto mapping

C

both one-one and onto

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

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

The function f : R rarr R defined by f(x) = 7^x + 7^|x| is

Show that the function f : R to R , defined by f(x) = 1/x is one-one and onto, where R, is the set of all non-zero real numbers.

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

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

If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1 , then g(x)

Let f: R rarr R be defined by f(x)= (1)/(x) AA x inR , then f is _______

Consider f: R _(+_ to [4, oo) given by f (x) = x ^(2) + 4. Show that f is invertible with the inverse f ^(-1) given by f ^(-1) (y) = sqrt (y -4), where R _(+) is the set of all non-negative real numbers.

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 is gi...

    Text Solution

    |

  2. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  3. The mapping f:R^+ rarr R defined by f(x) = log{10}x, (Where R^+ is the...

    Text Solution

    |

  4. The function f(x) = 10^x from the set R of real numbers to [0,oo) is

    Text Solution

    |

  5. If R denotes the set of all real numbers than the function f : R rarr ...

    Text Solution

    |

  6. If f : N xx N rarr N is such that f (m,n) = m+n, for all n in N, where...

    Text Solution

    |

  7. If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x) is :

    Text Solution

    |

  8. If f(x) = (1-x)/(1+x), then f[f(cos x)]=

    Text Solution

    |

  9. If f(x) = (x-3)/(x+1), then f[f{f(x)}]=

    Text Solution

    |

  10. If f(x) = x/(x - 1) = 1/y, then f(y)=

    Text Solution

    |

  11. If f(x) = (x-1)/(x+1), then f[1/f(x)]=

    Text Solution

    |

  12. The number of bijective functions from the set A to itself, if A conta...

    Text Solution

    |

  13. If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1, then g(x...

    Text Solution

    |

  14. Let A be a set containing 10 distinct elements . Then the total number...

    Text Solution

    |

  15. If the set A has 3 elements and the set B has 4 elements, then the nu...

    Text Solution

    |

  16. The number of bijective functions from the set A to itself if a contai...

    Text Solution

    |

  17. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  18. If f(x) = 4x - x^2, then f (a + 1) - f( a - 1) =

    Text Solution

    |

  19. If f(x) = 1 - 1/x, then f(f(1/x)) =

    Text Solution

    |

  20. If f(x) = x^2 - 3x + 1 and f (2 alpha) = 2 x f(alpha)=

    Text Solution

    |