Home
Class 12
MATHS
Identify the following functions whether...

Identify the following functions whether odd or even or neither: `f(x)=log((x^4+x^2+1)/(x^2+x+1))`

A

a)Odd

B

b) Even

C

c) Neither

D

d) Both

Text Solution

Verified by Experts

The correct Answer is:
c
`log((x^(4)+x^(2)+1)/(x^(2)+x+1))=log(x^(2)-x+1)`,
which is neigher odd nor even.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Identify the following functions whether odd or even or neither: f(x) = sinx + cosx

Identify the following functions whether odd or even or neither: f(x)=xg(x)g(-x)+"tan"(sinx)

Identify the following functions whether odd or even or neither even nor odd: f(x)={ x|x| for x =1

Identify the given functions whether odd or even or neither: f(x)={(x|x| ,, xlt=-1),([x+1]+[1-x] ,, -1lt x lt1),(-x|x| ,, xgt=1):}

Find which of the following functions is even or odd ? f(x)=log(x+sqrt(1+x^2))

Find which of the following functions is even or odd ? f(x)=log((a-x)/(a+x))

Find which of the following functions is even or odd ? f(x)=log((a+x)/(a-x))

Which of the following functions are even/odd, and which are neither even or odd? f(x)=(x^2+1)/(x^4+1)^2

Which of the following functions is (are) even, odd, or neither ? (i) f(x)=x^(2)sinx " (ii) " f(x)=sqrt(1+x+x^(2))-sqrt(1-x+x^(2)) (iii) f(x)=log((1-x)/(1+x)) " (iv) " f(x)=log(x+sqrt(1+x^(2))) (v) f(x)=sinx-cosx " (vi) " f(x)=(e^(x)+e^(-x))/(2)

Which of the following functions are even/odd, and which are neither even or odd? f(x)="log"(1+x)/(1-x)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the equivalent definition of f(x)=m a xdot{x^2,(-x)^2,2x(1-x)}w h...

    Text Solution

    |

  2. Identify the type of the functions: f(x)={g(x)-g(-x)}^(3)

    Text Solution

    |

  3. Identify the following functions whether odd or even or neither: f(x)=...

    Text Solution

    |

  4. Identify the following functions : f(x)=xg(x)g(-x)+"tan"(sinx)

    Text Solution

    |

  5. Identify the following functions: f(x)=cos["x"]+[(sinx)/2] where [dot...

    Text Solution

    |

  6. Identify the given functions whether odd or even or neither: f(x)={(x|...

    Text Solution

    |

  7. Let the function f(x)=x^2+x+sin x-cosx+log(1+|x|) be defined on the in...

    Text Solution

    |

  8. Which of the following function/functions is/are periodic? sgn(e^(-x))...

    Text Solution

    |

  9. Match the column

    Text Solution

    |

  10. Explain the term 'Mode'

    Text Solution

    |

  11. Find the fundamental period of f(x)=cosxcos2xcos3xdot

    Text Solution

    |

  12. Let f(x)={1+|x|,x<-1 [x],xgeq-1 , where [.] denotes the greatest integ...

    Text Solution

    |

  13. If f(x)=log[(1+x)/(1-x)], then prove that f[(2x)/(1+x^2)]=2f(x)dot

    Text Solution

    |

  14. f(x) = (alpha x)/(x + 1) (x ne -1), then for what value of alpha , f{f...

    Text Solution

    |

  15. If the domain of y=f(x)i s[-3,2], then find the domain of g(x)=f(|[x]|...

    Text Solution

    |

  16. Let f be a function defined on [0,2]. The prove that the domain of fun...

    Text Solution

    |

  17. A function f has domain [-1,2] and range [0,1] . Find the domain and r...

    Text Solution

    |

  18. Let f(x)=tanx a n d g(f(x))=f(x-pi/4), where f(x)a n dg(x) are real ...

    Text Solution

    |

  19. Let g(x)=1+x-[x] and f(x)={-1,x < 0, 0, x=0 1, x > 0. Then for a...

    Text Solution

    |

  20. f(x)={(log(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1","...

    Text Solution

    |