Home
Class 11
MATHS
Function f(x)=log(x^3+sqrt1+x^6) is...

Function `f(x)=log(x^3+sqrt1+x^6)` is

A

even function

B

odd function

C

algebraic function

D

discontinuous function

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sin(log(x+sqrt(1+x^2))) is (a) even function (b) odd function (c) neither even nor odd (d) periodic function

The function f (x) = log (x+ sqrt(x^(2) +1)) is-

Find the inverse of the following function: f(x)=log_e(x+sqrt(x^2+1))

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]

Find the intervals in which the function f(x)=log (1+x) -x/(1+x) is increasing

Find the intervals in which the function f(x)=log (1+x) -x/(1+x) is decreasing

The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Show that f(x) = log [x + sqrt(1 + x^2)] is a odd function.

The number of points on the real line where the function f(x) = log_(|x^2-1|)|x-3| is not defined is

PATHFINDER-FUNCTION-QUESTION BANK
  1. A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R ...

    Text Solution

    |

  2. If the function f(x)=[3.5 + b sin x] (where[.] denotes the greatest in...

    Text Solution

    |

  3. Function f(x)=log(x^3+sqrt1+x^6) is

    Text Solution

    |

  4. If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA...

    Text Solution

    |

  5. If overset(n) underset (k=0) sum f(x+ka)=0 where a gt 0, then the peri...

    Text Solution

    |

  6. Function f satisfies the equation f(x+a)={(1+f(x))/(1-f(x))} AA x in R...

    Text Solution

    |

  7. If f'(x)={(1-2sin^2x)/(f(x))}, f(x) ge 0, AA x in R and f(0)=1, then ...

    Text Solution

    |

  8. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

    Text Solution

    |

  9. Period of f(x)=sin, pi/2 x+2cos, pi/3 x-tan, pi/4 x is equal to

    Text Solution

    |

  10. Polynomial function f(x) satisfying the condition f(x), f(1/x)=f(x)+f...

    Text Solution

    |

  11. The function f(x) is defined for all real x. If f(a+b)=f(ab) AA a and...

    Text Solution

    |

  12. If '' (x)=-f(x) and g(x)=-f'(x) and F(x)=(f(x/2))^2 + (g(x/2))^2 and ...

    Text Solution

    |

  13. If fog=|sinx| and gof=sin^2 sqrtx then f(x) and f(x) are

    Text Solution

    |

  14. If f is a function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) fo...

    Text Solution

    |

  15. Let f(x)={(-1+sinK1pix, x is rational), (1+cosK2pix, x is irrational...

    Text Solution

    |

  16. Let f(1)=1 and f(n)=2overset(n-1)underset(r=1)sum f( r ). Then overset...

    Text Solution

    |

  17. Given f(x) = In {(1+x)/(1-x)} and g(x)={(3x+x^3)/(1+3x^2)}. Then f(g(x...

    Text Solution

    |

  18. If f: [2,3) rarr [0,1) is defined by f(x)=x-[x], the fractional part o...

    Text Solution

    |

  19. The domain of y=cos^-1((1-2|x|)/3)+log|x-1|x is

    Text Solution

    |

  20. Let f:[-pi/3, 2pi/3] rarr [0,4] be a function defined as f(x)=sqrt3 si...

    Text Solution

    |