Home
Class 12
MATHS
The function f(x) = 10^x from the set R ...

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

A

one-one and onto

B

one-one and into

C

a constant function

D

an identify function

Text Solution

Verified by Experts

The correct Answer is:
B
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

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof.

If the functions f, g and h are defined from the set of real numbers R to R such that f(x)=x^(2)-1,g(x)=sqrt((x^(2)+1)) , h(x)={{:("0,","if",x Then find the composite function ho(fog)(x).

The function f(x) = cot x discontinuous on the set

The function f : N rarr N , Where N is the set of natural numbers, defined by f(x) = 3x+4 is

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

Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non-negative real numbers. Find (f+g) (x), (f-g), (fg) (x) and (f/g) (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).

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The f(x) is such that f(x+y) = f(x) + f(y), for all reals x and y xx...

    Text Solution

    |