Home
Class 11
MATHS
P.T the real valued function f(x)= (x)/(...

P.T the real valued function `f(x)= (x)/(e^(x)-1) + x/2 + 1` is an even function on `R-{0}`.

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (VERY SHORT ANSWER TYPE QUESTIONS)|2 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the domains of the real valued function f (x) = (1)/( sqrt ( x ^(2) - a ^(2)) , (a > 0)

Find the domain of the real valued function: f(x)=1/(6x-x^2-5)

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

Determine whether the function f(x) = x((e^(x)-1)/(e^(x)+1)) is even or odd

The function f(x)=(1+x)^(5//x), f(0)=e^(5)" at x =0 is "

AAKASH SERIES-FUNCTIONS -EXERCISE -1.1 (VERY SHORT ANSWER QUESTIONS)
  1. Is g={(1,1),(2,3),(3,5),(4,7)} is a function from A={1,2,3,4}. to B={1...

    Text Solution

    |

  2. If f= {(1, 2), (2, -3), (3, -1)} then find: (i) 2f, (ii) 2+f, (iii) ...

    Text Solution

    |

  3. If f={(4,5),(5,6), (6,-4)} and g={(4,-4),(6,5),(8,5)} then find: (i)...

    Text Solution

    |

  4. If f(x) = x^(2) and g(x) = Ixl then find the values of: (i) f+g, (i...

    Text Solution

    |

  5. If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3), then S.T f(x) +...

    Text Solution

    |

  6. f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2...

    Text Solution

    |

  7. If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)|, then show that f(...

    Text Solution

    |

  8. If f(x)=cos(logx), then show that f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/...

    Text Solution

    |

  9. If the function f: R to R defined by f(x)=(4^(x))/(4^(x)+2), then show...

    Text Solution

    |

  10. If the function f: R to R defined by f(x)=(3^(x)+3^(-x))/(2), then S....

    Text Solution

    |

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

    Text Solution

    |

  12. If f: R to R, g : R to R are defined by f(x) =3x-1, g(x) =x^(2)+1, the...

    Text Solution

    |

  13. If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

    Text Solution

    |

  14. If f(x) = 1//x, g(x) = sqrt(x) for all x in (0,oo), then find (gof)(x)...

    Text Solution

    |

  15. If f(x) = 2, g(x) = x^(2), h(x) = 2x then find (fogoh)(x)

    Text Solution

    |

  16. If f(x) = (x+1)/(x-1) (x ne -1) then find (fofof)(x) and (fofofof)(x).

    Text Solution

    |

  17. Let f(x) = x^(2), g(x) = 2^(x). Then solve the equation (fog)(x)=(gof)...

    Text Solution

    |

  18. Determine whether the following functions are even or (odd). (i) f(x...

    Text Solution

    |

  19. P.T the real valued function f(x)= (x)/(e^(x)-1) + x/2 + 1 is an even ...

    Text Solution

    |

  20. If f:R to R is defined as f(x+y)=f(x)+f(y) AA x,y in R and f(1) = 7, f...

    Text Solution

    |