Home
Class 12
MATHS
The domain of f(x)=ln(a x^3+(a+b)x^2+(b+...

The domain of `f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c),` where `a >0, b^2-4ac=0`, is

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

The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the greatest integer less than or equal to x , is (a) R (b) [0,oo] (c) (-oo,0) (d) none of these

The domain of f(x)=((log)_2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,oo) (c) R-{-1,-2,-3} (d) (-3,oo)-{-1,-2}

Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a,b], where a=1 and b=3. Find all c in (1, 3) for which f'(c )=0 .

The global maximum value of f(x)=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 c) (log)_(10)3 (d) 3/2(log)_(10)3

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c b. b c >0 c. a b >0 d. a b c<0

Verify Rolle's theorem for the functions f(x)=log{(x^(2)+ab)/(x(a+b))}" in " a le x le b where 0 lt a lt b .

Find the domain of (a) f(x)=1/(sqrt(x-[x])) (b) f(x)=1/(log[x]) (c) f(x)=log{x}

Consider a function f whose domain is [-3, 4] and range is [-2, 2] with following graph. Domain and range of g(x)=f(|x|) is [a, b] and [c, d] respectively, then (b-a+c+d) is

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0 where a ,b ,c in Rdot

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |

  2. Solve (x-2)[x]={x}-1, (where [x]a n d{x} denote the greatest integer...

    Text Solution

    |

  3. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

    Text Solution

    |

  4. If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

    Text Solution

    |

  5. Discuss the continuity of f(x)=sgn(x^3-x)

    Text Solution

    |

  6. If f(x)=x^2 for xgeq1 and x for x<0,then fof(x) is given by

    Text Solution

    |

  7. If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(...

    Text Solution

    |

  8. Let f: RrarrR, where f(x)=sinx , Show that f is into.

    Text Solution

    |

  9. Draw the graph of the function: f(x)=log|x|

    Text Solution

    |

  10. If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, t...

    Text Solution

    |

  11. Find the domain of f(x)(sqrt((1-sinx)))/((log)5(1-4x^2) +cos^(-1)(1...

    Text Solution

    |

  12. Sketch the curve |y|=(x-1)(x-2)dot

    Text Solution

    |

  13. If f(x) is a real-valued function defined as f(x)=In (1-sinx), then t...

    Text Solution

    |

  14. Find the range of f(x)=cos((log)e{x})dot

    Text Solution

    |

  15. Plot y=sinxa n dy=2sinxdot

    Text Solution

    |

  16. If f:x->y, where x and y are sets containing natural numbers, f(x)=(x...

    Text Solution

    |

  17. Find the domain and range of f(x)=cos^(-1)sqrt((log)([x])((|x|)/x))

    Text Solution

    |

  18. Discuss the continuity of the following function : f(x)={1,ifxi sr a t...

    Text Solution

    |

  19. Find the range of f(x)=(log)([x-1])sinxdot

    Text Solution

    |

  20. Plot y=sinxa n dy=sin(x/2)

    Text Solution

    |