Home
Class 12
MATHS
If e^x+e^(f(x))=e , then the range of f(...

If `e^x+e^(f(x))=e` , then the range of `f(x)` is `(-oo,1]` (b) `(-oo,1)` (1, `oo)` (d) `[1,oo)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f_1(x)=2^(f_2(x)) , where f_2(x)=2012^(f_2(x)) ,where f_3(x)=(1/20213)^(f_4(x)) ,where f_4(x)=log_2013 log_x 2012,= then the range of f_1(x) is (A) (2,oo) (B) (2012,oo) (C) (0,oo) (D) (-oo,oo)

The domain of f(x)=log|log x|is(0,oo)(b)(1,oo)(c)(0,1)uu(1,oo)(d)(-oo,1)

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

Range of the function f(x)=(ln x)/(sqrt(x)) is (a) (-oo,\ e) (b) (-oo,\ e^2) (c) (-oo,2/e) (d) (-oo,1/e)

The range of f(x)=(x^(4))/(1+x^(8)) is (1)[0,oo)(2)[0,(1)/(2)](3)[0,1](4)(-oo,oo)

The function f(x)=log x-(2x)/(x+2) is increasing for all A) x in(-oo,0) , B) x in(-oo,1) C) x in(-1,oo) D) x in(0,oo)

f ={(x,x^2/(x^2+1)): x in R} ,be a function R into R,range of 'f' 1)[0,1) 2) (-oo,oo) 3) (0,oo) 4) R^+

RESONANCE DPP-JEE MAINS-All Questions
  1. Which of the following is the solution set of the equation 2cos^(-1)x=...

    Text Solution

    |

  2. If 2^2pi//sin^((-1)x)-2(a+2)^pi//sin^((-1)x)+8a<0 for at least one rea...

    Text Solution

    |

  3. If e^x+e^(f(x))=e , then the range of f(x) is (-oo,1] (b) (-oo,1) ...

    Text Solution

    |

  4. The auxiliary circle of a family of ellipse passes through the origin ...

    Text Solution

    |

  5. Two tangents to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 having m1a n d...

    Text Solution

    |

  6. If int0^oo(sinx)/xdx=pi/2,t h e nint0^oo(sin^3x)/x dx is equal to (a...

    Text Solution

    |

  7. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

    Text Solution

    |

  8. For x in R and a continuous function f, let I1=int(s in^2t)^(1+cos^2t...

    Text Solution

    |

  9. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

    Text Solution

    |

  10. The area bounded by y = x |sinx| and x - axis between x = 0, x = 2pi i...

    Text Solution

    |

  11. The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s...

    Text Solution

    |

  12. If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b...

    Text Solution

    |

  13. The number of ordered quadruples (a1,a2,a3,a4) of positive odd integer...

    Text Solution

    |

  14. Find the value of lambda so that the four points, A, B, C and D wit...

    Text Solution

    |

  15. If vec a , vec b ,a n d vec c are three non-coplanar non-zero vec...

    Text Solution

    |

  16. A six-faced dice is so biased that it is twice as likely to show an ...

    Text Solution

    |

  17. In a multiple choice question, there are four alternative answers of ...

    Text Solution

    |

  18. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  19. The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)...

    Text Solution

    |

  20. The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from th...

    Text Solution

    |