Home
Class 12
MATHS
Let f:R->[1,oo) be defined as f(x)=log10...

Let `f:R->[1,oo)` be defined as `f(x)=log_10(sqrt(3x^2-4x+k+1)+10)` If f(x) is surjective then k =

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

Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) then f(x) is (A) injective but not surjective (B) injective as well as surjective (C) neither injective nor surjective (D) surjective nut not injective

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is

If f(x) = |log_10x| then at x=1

If f(x)=2x+cos^(-1) x+log (sqrt(1+x^(2))-x) , then f(x) is-

Let f:N->N be defined by f(x)=x^2+x+1,x in N . Then f(x) is

Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.

Let f:(-1,1) to R be a function defined by f(x)="max"{-|x|, -sqrt(1-x^(2))} . If K be the set of all points at which f is not differentiable, then K has exactly :

Let f : R to R be defined as f(x) = (x^2-x+4)/(x^2+x+4) . Then the range of the function f(x) is

Domain of the function, f(x)=[log_10 ((5x-x^2)/4)]^(1/2) is

Let f:RtoR be defined by f(x)=x/(1+x^2),x inR . Then the range of f is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let A be a non- empty set of real numbers and f:A->A be such that f(f(...

    Text Solution

    |

  2. Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) the...

    Text Solution

    |

  3. Let f:R->[1,oo) be defined as f(x)=log10(sqrt(3x^2-4x+k+1)+10) If f(x)...

    Text Solution

    |

  4. Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Th...

    Text Solution

    |

  5. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  6. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  7. The graph of a function y=g(x) is shown in the following figure. If...

    Text Solution

    |

  8. Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined b...

    Text Solution

    |

  9. Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x...

    Text Solution

    |

  10. The function f(x)=sin(log(x+sqrt(1+x^2))) is (a) even function (b) odd...

    Text Solution

    |

  11. Let P(x) = x^10+ a2x^8 + a3 x^6+ a4 x^4 + a5x^2 be a polynomial with r...

    Text Solution

    |

  12. If F(x)a n dG(x) are even and odd extensions of the function f(x)=x|x|...

    Text Solution

    |

  13. The graph of a function y=g(x) is shown in the following figure. If ...

    Text Solution

    |

  14. Let f(x) be real valued and differentiable function on R such that f(x...

    Text Solution

    |

  15. The number of elements in the domain of the function f(x)=sin^(-1)((x^...

    Text Solution

    |

  16. Find the domain and range of the function f(x)=(x^2)/(1+x^2) . Is the ...

    Text Solution

    |

  17. Let f(x) be real valued and differentiable function on R such that f(x...

    Text Solution

    |

  18. Consider f" ":" "{1," "2," "3}->{a ," "b ," "c} given by f(1)" "=" "a ...

    Text Solution

    |

  19. If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) =...

    Text Solution

    |

  20. f(x)=sin[x]+[sin x],0 < x < pi/2 (where [.] represents the greatest in...

    Text Solution

    |