Home
Class 11
MATHS
If f,g:R to R are defined f(x) = {(0 if ...

If `f,g:R to R` are defined `f(x) = {(0 if , x in Q),(1 if, x in Q):}, g(x) = {(-1 if , x in Q),(0 if, x !in Q):}`
then find `(fog)(pi)+(gof)(e )`.

Text Solution

Verified by Experts

The correct Answer is:
`(e) =-1 `
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-1 (A) |24 Videos

  • FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-1 (B)|25 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6(B)|21 Videos

  • HYPERBOLIC FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 9(a)|10 Videos

Similar Questions

Explore conceptually related problems

If f:Q to Q is defined by f(x) = 5x+4 , find f^(-1) .

If f: Q to Q is defined by f(x) = 5x+4 , find f^(-1) .

If f(x) = 2x-1, g(x) = (x+1)/(2) for all x in R , then find (gof) (x).

If f : R to R, g : R to R are defined by f (x) = 2x ^(2) + 3 and g (x) = 3x - 2, then find (fof) (0)

f: R^(+) to R defined by f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [1, infty) is:

If f : R to R , g : R to R are defined by f (x) = 4x - 1 and g (x) = x ^(2) + 2 then find (gof) (x)

If f : R to R , g : R to R are defined by f (x) = 4x - 1 and g (x) = x ^(2) + 2 then find (fof) (x)

If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] AA x in R, f(g(x)) =

If f:RtoR,g:RtoR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find (i) (fog)(2)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-FUNCTIONS -TEXTUAL EXERCISES (EXERCISE-1 (C)
  1. If f,g:R to R are defined f(x) = {(0 if , x in Q),(1 if, x in Q):}, g(...

    Text Solution

    |

  2. Find the domains of the followings real valued functions: (i) f(x) =...

    Text Solution

    |

  3. Find the domains of the followings real valued functions: (i) f(x) =...

    Text Solution

    |

  4. Find the domain of the following real valued functions: (i) f(x) =1/...

    Text Solution

    |

  5. Find the domains of the real valued function f (x) = |x -3|

    Text Solution

    |

  6. Find the domains fo the following real valued functions: (i) f(x) = ...

    Text Solution

    |

  7. Find the domain of the following real valued functions: (i) f(x) =1/...

    Text Solution

    |

  8. Find the domains of the real valued function f (x) = (3 ^(x))/(x +1)

    Text Solution

    |

  9. Find the domain of the following real valued functions: (i) f(x) = s...

    Text Solution

    |

  10. Find the domains fo the following real valued functions: (i) f(x) = ...

    Text Solution

    |

  11. Find the domains fo the following real valued functions: (i) f(x) = ...

    Text Solution

    |

  12. Find the range of the function f(x) =log|4-x^(2)|

    Text Solution

    |

  13. Find the ranges of the real valued function sqrt ([x]-x)

    Text Solution

    |

  14. Find the ranges of the real valued function (sin pi [x])/(1 + [x] ^(...

    Text Solution

    |

  15. Find the range of the function (x^(2)-4)/(x-2)

    Text Solution

    |

  16. Find the ranges of the real valued function sqrt (9 -x ^(2))

    Text Solution

    |

  17. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

    Text Solution

    |

  18. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

    Text Solution

    |

  19. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

    Text Solution

    |

  20. If f and g are real valued functions defined by f(x) = 2x -1 and g(x) ...

    Text Solution

    |

  21. If f={(1,2),(2,-3),(3,-1) then find (i) 2f.

    Text Solution

    |