Home
Class 11
MATHS
Let N be the set of natural numbers. ...

Let N be the set of natural numbers. Define a real valued function `f" ": N ->N""""""b y" "f(x)" "=" "2x" "+" "1` . Using this definition, complete the table given below. x 1 2 3 4 5 6 7 y f(1) = . . . f(2) = . . . f(3) = . . . f(4) = . . . f(5)

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(b)|14 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Frequently Asked Questions|17 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f(1).

If is a real valued function defined by f(x)=x^(2)+4x+3, then find f'(1) and f'(3)

If f is a real valued function such that f(x+y)=f(x)+f(y) and f(1)=5 , then the value of f(100) is

Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

Le the be a real valued functions satisfying f(x+1) + f(x-1) = 2 f(x) for all x, y in R and f(0) = 0 , then for any n in N , f(n) =

If f(x) is a real valued functions satisfying f(x+y) = f(x) +f(y) -yx -1 for all x, y in R such that f(1)=1 then the number of solutions of f(n) = n,n in N , is

Let f and g be two real values functions defined by f(x)=x+1 and g(x)=2x-3 Find 1)f+g,2 ) f-g,3 ) (f)/(g)

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. Let N be the set of natural numbers and the relation R be defined on ...

    Text Solution

    |

  2. Which of the following relations are functions? Give reason. If it is ...

    Text Solution

    |

  3. Let N be the set of natural numbers. Define a real valued function ...

    Text Solution

    |

  4. Let f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}be a linear function from...

    Text Solution

    |

  5. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

    Text Solution

    |

  6. Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...

    Text Solution

    |

  7. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

    Text Solution

    |

  8. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

    Text Solution

    |

  9. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

    Text Solution

    |

  10. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

    Text Solution

    |

  11. If f(x)=loge((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))

    Text Solution

    |

  12. माना f:R rarr R एक फलन इस प्रकार परिभाषित है, कि f(x)={:{(3x-1, " ...

    Text Solution

    |

  13. For the relation y= + sqrtx, say whether it is a function or not. If i...

    Text Solution

    |

  14. Find the domain and range of the following functions: (i) f(x) = sqr...

    Text Solution

    |

  15. The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] d...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the range of the following function: f(x) = (1)/((2x-3) (x+1))

    Text Solution

    |

  18. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

    Text Solution

    |

  19. Which of the following functions are odd or even or neither: (i) f(x...

    Text Solution

    |

  20. The period of x-[x] where [x] represents the integral part of x is

    Text Solution

    |