Home
Class 12
MATHS
Two functions f:RtoRand g:RtoR are defin...

Two functions `f:RtoR`and `g:RtoR` are defined as follows:
`f(x)={(0,(x"rational")),(1,(x "irrational")):}`
`g(x)={(-1,(x"rational")),(0,(x "irrational")):}`
then (gof)( e )+(fog) (`pi`) =

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-I

    TARGET PUBLICATION|Exercise MCQs|48 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:(1,"x is rational"),(2,"x is irrational"):} then

The function f:R rarr R,g:R rarr R are defined as follows: f(x)={0(xisrational),1(xisirrational),g(x)={-1,(xisrational),0,(xisirrational) Then (fog)(pi)+(gof)(e)=

Two functions f:R to R and g:Rto R are defined as follows: f(x)={{:(,0,x in Q),(,1,x ne Q):},g(x)={{:(,-1,x in Q),(,0,x in Q):} Then, fof (e)+fog (pi)

If f(x)={x,x is rational 1-x,x is irrational , then f(f(x)) is

The functions RR,g:R R are defined as f(x)={0, whenxis rational and 1 when x is irrational } and g(x)={-1 when x is rational and 0 when x~ is~ irrational}~ find~ fog (pi) and gof(e)

If the functions f(x) and g(x) are defined on R rarr R such that f(x)={0,x in retional and x,x in irrational ;g(x)={0,x in irratinal and x,x in rational then (f-g)(x) is

TARGET PUBLICATION-MODEL QUESTION PAPER-II-MCQs
  1. A square non-singular matrix A satisfies A^2-A+2I=0," then "A^(-1)=

    Text Solution

    |

  2. int((x+1)(x+logx)^2)/xdx=

    Text Solution

    |

  3. Two functions f:RtoRand g:RtoR are defined as follows: f(x)={(0,(x"r...

    Text Solution

    |

  4. In an entrance examinations there are multiple choice question. There ...

    Text Solution

    |

  5. Find the approximate values of : cot^(-1)(1.001)

    Text Solution

    |

  6. inte^(x)(1-cotx+cot^(2)x)dx=

    Text Solution

    |

  7. The differential equation of all circles which passes through the orig...

    Text Solution

    |

  8. X is continuous random variable with probability density function f(x)...

    Text Solution

    |

  9. IF x=2at^2,y=at^4, then (d^2y)/(dx^2) at t=2 is

    Text Solution

    |

  10. If the function f(x)=((e^(kx)-1)tankx)/(4x^(2)),x ne 0 =16" "x=0 ...

    Text Solution

    |

  11. General solution of tantheta+tan((pi)/(2)-theta)=2 is

    Text Solution

    |

  12. The sum of odd integeres from 1 to 3001 is

    Text Solution

    |

  13. The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

    Text Solution

    |

  14. Let the p.m.f. of a random variable X be - P(x) = (3 -x)/10 " for ...

    Text Solution

    |

  15. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  16. If A(2,3,-4),B(m,1,-1),C(3,2,2) and G(3,2,n) is the centroid of DeltaA...

    Text Solution

    |

  17. The maximum value of (logx)/xd is

    Text Solution

    |

  18. In a binomial distribution the probability of getting a success is 1/4...

    Text Solution

    |

  19. IF sintheta=1/2(a+1/a) then the value of sin 30 is

    Text Solution

    |

  20. The vector parallel to the line of intersection of the planes vecr.(3...

    Text Solution

    |