Home
Class 12
MATHS
Let f be real valued function from N to ...

Let f be real valued function from N to N satisfying. The relation f(m+n)=f(m)+f(n) for all `m,n in N`.
If domain of f is first 3m natural numbers and if the number of elements common in domain and range is m, then the value of f(1) is

A

2

B

3

C

6

D

Can't say

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 5: Matching Type Questions|1 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let f be real valued function from N to N satisfying. The relation f(m+n)=f(m)+f(n) for all m,n in N . The range of f contains all the even numbers, the value of f(1) is

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

Consider the real -valued function satisfyinig 2f(sinx)+f(cosx)=x. Then the domain of f(x) is

Let E={1,2,3,4} and F={1,2}dot If N is the number of onto functions from EtoF , then the value of N//2 is

If f is a function satisfying f(x+y)= f(x) f(y) for all x,y in N such that f(1)=3 and sum_(x=1)^n f(x)=120 , find the value of n.

The function f :R -> R satisfies the condition mf(x - 1) + nf(-x) = 2| x | + 1 . If f(-2) = 5 and f(1) = 1 find m and n

If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N such that f(1)=3 and sum_(x=1)^nf(x)=120 , find the value of n .

Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all positive real numbers x and ydot If f(30)=20 , then find the value of f(40)dot

ARIHANT MATHS-FUNCTIONS-Exercise (Passage Based Questions)
  1. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  2. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  3. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  4. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  5. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  6. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  7. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  8. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  9. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

    Text Solution

    |

  10. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  11. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  12. Let f:[2,infty) rarr [1, infty) defined by f(x)=2^(x^(4)-4x^(2)) and g...

    Text Solution

    |

  13. Let P(x) be a polynomial of degree at most 5 which leaves remainders -...

    Text Solution

    |

  14. Let P(x) be polynominal of degree atmost 5 which leaves remainders -1 ...

    Text Solution

    |

  15. Let P(x) be polynominal of degree atmost 5 which leaves remainders -1 ...

    Text Solution

    |

  16. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  17. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  18. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  19. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |

  20. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |