Home
Class 12
MATHS
For non-negative integers m and n a func...

For non-negative integers m and n a function is defined as follows f(m,n) = {n+1 if m=0; f(m-1,1) if m!=0, n=0}` Then the value of f(1,1) is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`f(1,1)=f(0,f(1,0))=f(0,f(0,1))=f(0,2)=3`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    CENGAGE|Exercise Question Bank|30 Videos

  • FUNCTIONS

    CENGAGE|Exercise Comprehension Type|7 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -II

    CENGAGE|Exercise DPP 3.4|19 Videos

  • GETTING STARTED WITH GRAPHS

    CENGAGE|Exercise Exercise|18 Videos

Similar Questions

Explore conceptually related problems

For non-negative integers m and n a function is defined as follows: f(m,n)={n+1, if m=0 and f(m-1,1) if m!=0,n=0 and f(m-1,f(m,n-1)) if m!=0,n Then the value of f(1,1) is:

For non-negative integers ma n dn a function is defined as follows: f(m ,n)={n+1ifm=0f(m-1,1)ifm!=0,n=0f(m-1,f(m ,n-1))ifm!=0,n!=0 Then the value of f(1,1) is a. 1 b. 12 c. 3 d. 4

Let f be a function from the set of all non-negative integers into itself such that f(n + 1) = 6f(n) + 1 and f(0) = 1 , then the value of f(4) – f(3)

Let f:N to N for which f(m+n)=f(m)+f(n) forall m,n in N .If f(6)=18 then the value of f(2)*f(3) is

A Function f is defined for all positive integers and satisfies f(1)=2005 and f(1)+f(2)+.........+f(n)=n^(2)f(n) for all n>1. Find the value of f(2004)

A function f(x) is defined as f(x)=[x^(m)(sin1)/(x),x!=0,m in N and 0, if x=0 The least value of m for which f'(x) is continuous at x=0 is

Consider the function f defined on the set of all non-negative interger such that f(0) = 1, f(1) =0 and f(n) + f(n-1) = nf(n-1)+(n-1) f(n-2) for n ge 2 , then f(5) is equal 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

CENGAGE-FUNCTIONS-Single Correct Answer Type
  1. f(x)=sin[x]+[s in x],0<x<pi/2 (where [.] represents the greatest integ...

    Text Solution

    |

  2. If and phi(x)=1/(1+e^(-x)) S=phi(5) +phi(4) +phi(3) + ..+phi(-3) + phi...

    Text Solution

    |

  3. For non-negative integers m and n a function is defined as follows f(m...

    Text Solution

    |

  4. If f : R-&gt;Q (Rational numbers), g : R -&gt;Q (Rational numbers) are...

    Text Solution

    |

  5. If fa n dg are two functions defined on N , such that f(n)-{2n-1ifni s...

    Text Solution

    |

  6. The number of points on the real line where the function f(x)-log- Ix-...

    Text Solution

    |

  7. For relation 2 log y - log x - log ( y-1)=0

    Text Solution

    |

  8. The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes ...

    Text Solution

    |

  9. The number of elements in the domain of the function f(x)=sin^(-1)((x^...

    Text Solution

    |

  10. Range of the function f(x)=sqrt(cos^(- 1)(sqrt(log4x))-pi/2)+sin^(- 1)...

    Text Solution

    |

  11. The range of the function f(x)=tan^(- 1)((x^2+1)/(x^2+sqrt(3))) x in R...

    Text Solution

    |

  12. The domain of the function f(x)=sqrt(10-sqrt(x^4-21 x^2)) is [5,oo) b....

    Text Solution

    |

  13. Number of integers in domain of function f(x) =log(|x^2|)(4-|x|)+log2...

    Text Solution

    |

  14. The domain of the function f(x)=loge {sgn(9-x^2)}+sqrt([x]^3-4[x])(whe...

    Text Solution

    |

  15. Number of integers in the integer of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x...

    Text Solution

    |

  16. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  17. Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx be an even fun...

    Text Solution

    |

  18. f(x)=sin^2x+cos^4x+2 and g(x)=cos(cosx)+cos(sinx) Also let period f(x)...

    Text Solution

    |

  19. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  20. If a and b are natural numbers and f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^2...

    Text Solution

    |