Home
Class 12
MATHS
The domain of f(x)=sin^(-1)[2x^2-3],w h ...

The domain of `f(x)=sin^(-1)[2x^2-3],w h e r e[dot]` denotes the greatest integer function, is `(i)(-sqrt(3/2),sqrt(3/2))` `(ii)(-sqrt(3/2),-1)uu(-sqrt(5/2),sqrt(5/2))` `(iii)(-sqrt(5/2),sqrt(5/2))` `(iv)(-sqrt(5/2),-1)uu(1,sqrt(5/2))`

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

(2sqrt(-5)+3sqrt(-2))(-3sqrt(-8)-sqrt(-20))

Find the domain of the function f(x)=sqrt(2x+1)+sqrt(5-x) .

Find the angles of the triangle whose sides are (sqrt(3)+1)/(2sqrt(2)), (sqrt(3)-1)/(2sqrt(2)) and sqrt(3)/2 .

Find the value of determinant |[sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)],[sqrt((15))+sqrt((26)),5,sqrt((10))],[3+sqrt((65)),sqrt((15)),5]|

Simplify: (1)/(sqrt2 +1) + (1)/(sqrt3 + sqrt2) + (1)/(sqrt4 + sqrt3)

Simplify : (sqrt5+sqrt3)((3sqrt3)/(sqrt5+sqrt2)-sqrt5/(sqrt3+sqrt2))

Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

Prove that, int_(2)^(3)(sqrt(x)dx)/(sqrt(x)+sqrt(5-x))=(1)/(2)

Simiplify (1)/(7+4sqrt3)+(1)/(2+sqrt5)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Sketch the curve y="log"|x|

    Text Solution

    |

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

    Text Solution

    |

  3. The domain of f(x)=sin^(-1)[2x^2-3],w h e r e[dot] denotes the greates...

    Text Solution

    |

  4. Find the domain of f(x)=1/(sqrt(|[|x|-1]|-5))

    Text Solution

    |

  5. Sketch the graph for y=|sinx|dot

    Text Solution

    |

  6. Match the column Column I (Function), Column II (Period) p. f(x)=si...

    Text Solution

    |

  7. Draw the graph for y=|logx|

    Text Solution

    |

  8. Find the domain of f(x)=1/(sqrt(|[|x|-1]|-5))

    Text Solution

    |

  9. Let f: RvecRa n dg: RvecR be two one-one and onto function such that t...

    Text Solution

    |

  10. Plot the curve y=(log)e(-x)dot

    Text Solution

    |

  11. Find the domain of the function : f(x)=3/(4-x^2)+(log)(10)(x^3-x)

    Text Solution

    |

  12. If f(x) = x^2, then /\^2 f(x) is

    Text Solution

    |

  13. Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot...

    Text Solution

    |

  14. Find the domain of the function : f(x)=sqrt(((log)(0. 3)|x-2|)/(|x|))

    Text Solution

    |

  15. f(x)=sin^(-1)(2xsqrt(1-x^2)) then f'(x)=

    Text Solution

    |

  16. Find the domain of the function : f(x)=sqrt((log)(10){((log)(10)x)/(2...

    Text Solution

    |

  17. Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all po...

    Text Solution

    |

  18. Find the domain of the function : f(x)=1/(sqrt((log)(1/2)(x^2-7x+13)))

    Text Solution

    |

  19. If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) ...

    Text Solution

    |

  20. Let f: R->R be a continuous onto function satisfying f(x)+f(-x)=0AAx i...

    Text Solution

    |