Home
Class 12
MATHS
Two functions f(x)a n dg(x) are defined ...

Two functions `f(x)a n dg(x)` are defined as `f(x)=(log)_3|(x-2)/(x^2-10 x+24)|` and `g(x)=cos^(-1)((x-2)/3),` then find the number of even integers for which `(f(x)+g(x))` is defined.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f:RtoR be defined as f(x)=(2x-3pi)^(3)+(4)/(3)x+cosx and g(x)=f^(-1)(x) then

Consider two functions, f(x) and g(x) defined as under: f(x)={1+x^3,x < 0 and g(x) ={(x-1)^(1/3) (x+1)^(1/2), x < 0. Evaluate g(f(x)).

If the function f(x) defined by f(x)= (log(1+3x)-"log"(1-2x))/x , x!=0 and k , x=0. Find k.

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

The function f and g are defined as f(x) = 2x - 3 and g(x) = x + 3//2 . For what value of y is f(y) = g(y- 3) ?

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f(1)x^(2) +x f' (x)+ f''(x). The number of integers in the domain of the function F(x)= sqrt(-(f(x))/(g (x)))+sqrt(3-x) is:

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are:

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The value of a^(sqrt((log)a b))-b^(sqrt((log)b a))(w h e r ea ,b >0a n...

    Text Solution

    |

  2. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  3. Two functions f(x)a n dg(x) are defined as f(x)=(log)3|(x-2)/(x^2-10 x...

    Text Solution

    |

  4. Find the value of (23.17)^((1)/(5.76)) using log table.

    Text Solution

    |

  5. The number of integer belonging to the interval [-3, 30] but not belon...

    Text Solution

    |

  6. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  7. Find number of digits in 18^20

    Text Solution

    |

  8. Consider the function f(x)=(sec^(-1)x)^2+(cos e c^(-1)x)^2 then Range ...

    Text Solution

    |

  9. It the first and (2n-1)^(th) terms of an A.P.,a G.P. and an H.P. of po...

    Text Solution

    |

  10. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved a...

    Text Solution

    |

  11. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  12. Find the value of x satisfying the equation ((log)3 root(3)(3x)+(log)x...

    Text Solution

    |

  13. A relation R is defined on the set of circles such that "C(1)RC(2)impl...

    Text Solution

    |

  14. Let a(1),a(2),a(3), be three positive numbers which are G.P. with comm...

    Text Solution

    |

  15. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  16. Which of the following set of value of x satisfy the inequality x^2-4x...

    Text Solution

    |

  17. The value of k for which product of two of the roots of the equation x...

    Text Solution

    |

  18. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  19. If the equation of plane containing the line x-y+z=0a n dx+y+z-2=0 and...

    Text Solution

    |

  20. Find the number of common terms to the two sequences 17, 21, 25, 417 a...

    Text Solution

    |