Home
Class 12
MATHS
A function f from integers to integers i...

A function `f` from integers to integers is defined as `f(x)={(n+3, n "is odd"),(n/2 , n "is even"):}`. If `k` is an odd integer and `f(f(f(k)))=27` then the sum of digits of `k` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A function f from integers to integers is defined as f(n)={(n+3",",n in odd),(n//2 ",",n in even):} Suppose k in odd and f(f(f(k)))=27. Then the value of k is ________

A function f from integers to integers is defined as f(x)={{:(n+3",",nin"odd"),(n//2",",nin"even"):} suppose kin odd and f(f(f(k))) =27 then the sum of sigits of k is

A function f from integers to integers is defined as f(x)={n+3, n in od d n/2,n in e v e n suppose k in odd and f(f(f(k)))=27 . Then the sum of digits of k is__________

A function f:ZrarrZ is defined as f(n)={{:(n+1,n in " odd integer"),((n)/(2),n in "even integer"):} . If k in odd integer and f(f(f(k)))=33 , then the sum of the digits of k is

A function f from the set of natural number to integers defined by f(n)={{:(,(n-1)/(2),"when n is odd"),(,-(n)/(2),"when n is even"):}

Draw the graph of the function : f(x) = {(" 0 if x is an even integer"),("1 if x is an odd integer" ):}

A function f from the set of natural numbers to integers is defined by n when n is odd f(n)3, when n is even Then f is (b) one-one but not onto a) neither one-one nor onto (c) onto but not one-one (d) one-one and onto both

On the set of integers Z, define f : Z to Z as f(n)={{:((n)/(2)",",,"n is even."),(0",",,"n is odd."):} Then, f is

Show that the function f:N rarr Z, defined by f(n)=(1)/(2)(n-1) when n is odd ;-1/2 n when n is even is both one-one and onto

A mapping f:N rarr N where N is set of natural numbers is destined as f(n)=n^(2),n=odd and 2n+1,n= even for n in N then f is

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of real solutions of equation x^((log)x2)+x^2=3x is 2 b. 1 ...

    Text Solution

    |

  2. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  3. A function f from integers to integers is defined as f(x)={(n+3, n "is...

    Text Solution

    |

  4. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

  5. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  6. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  7. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: 1 (b) 2 ...

    Text Solution

    |

  8. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  9. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  10. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  11. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |

  12. The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an ...

    Text Solution

    |

  13. Consider the number N 7 7 4 9 5 8 P 9 6 Q (i) If P and the number N is...

    Text Solution

    |

  14. 4/(9^(1//3)-3^(1//3)+1) is equal to 3^(1//3)+1 b. 3^(1//3)-1 c. 3^...

    Text Solution

    |

  15. A 3-digit number has, from left to right, the digits a , b ,a n dcw i ...

    Text Solution

    |

  16. ((x-5)^2(x+2)^3(x-4))/((x-3)^4)lt=0

    Text Solution

    |

  17. IF (log)6(log)2[sqrt(4x+2)]+2sqrt(x)=0, then x= .

    Text Solution

    |

  18. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3) . Then N is a...

    Text Solution

    |

  19. If a+b+c=2,a^2+b^2+c^2=1a n da b c=3t h e n1/a+1/b+1/c is equal to a. ...

    Text Solution

    |

  20. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

    Text Solution

    |