Home
Class 12
MATHS
f(x)=x^(2)+lnx...

`f(x)=x^(2)+lnx`

Text Solution

Verified by Experts

The correct Answer is:
one-one onto

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise HLP_TYPE|42 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

y=e^(x)lnx

Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = x-2lnx on [1,e]

Determine the intervals of increase and decrease for the following functions : f(x) = (2x)/("lnx")

Let C be the curve f(x)=ln^2x+2lnx and A(a,f(a)), b(b,f(b)) where (a

The value of int_(1)^(e)(1+x^(2)lnx)/(x+x^(2)lnx)dx

The indefinite integral inte^(e^(x))((xe^(x).lnx+1)/(x))dx simplifies to (where, c is the constant of integration)

If (x)=(x^(2)-4)-:(x-2) f o rx <2,f(x)=4 for x=2 and f(x)=2 for x<2, then f(x) at x=2 is

Evaluate: int[ln(lnx)+1/(lnx)^(2)] dx

Find fog and gof if: f(x)=e^(x),g(x)=lnx

RESONANCE-RELATION, FUNCTION & ITF-SSP
  1. Following each of the following function find whether it is one-one o...

    Text Solution

    |

  2. f(x)=1/(1+x^(2)),(-oo,0)toR

    Text Solution

    |

  3. f(x)=x^(2)+lnx

    Text Solution

    |

  4. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  5. Examine whether the folloiwng pair of function are identical or not: f...

    Text Solution

    |

  6. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  7. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

    Text Solution

    |

  8. f(x)=e^x : R^+ ->R and g(x)=x^2-x : R->R Find domain and range of fog...

    Text Solution

    |

  9. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  10. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  11. Determine whether the following function are even/odd/neither even nor...

    Text Solution

    |

  12. Determine f^(-1)(x), if given function is invertible. f:(-oo,1)to(-o...

    Text Solution

    |

  13. Find the value of : cos[(pi)/3-"sin"^(-1)(-1/2)]

    Text Solution

    |

  14. Find the value of : cosec[sec^(-1)(sqrt(2))+cot^(-1)(1)]

    Text Solution

    |

  15. find domain of the following y=sec^(- 1)(x^2+3x+1)

    Text Solution

    |

  16. Find the domain of: y=sin^(-1)((x^(2))/(1+x^(2)))

    Text Solution

    |

  17. Find the domain of: y=cot^(-1)(sqrt(x^(2)-1))

    Text Solution

    |

  18. Range of f(x)=sin^(- 1)x+sec^(- 1)x is

    Text Solution

    |

  19. Find the range of sin^(-1)sqrt(x^(2)+x+1)

    Text Solution

    |

  20. Find the value of : cos{sin("sin"^(-1)(pi)/6)}

    Text Solution

    |