Home
Class 12
MATHS
(i) Find the domain of the function belo...

(i) Find the domain of the function below.
`f(x) = frac{1}{2} sec^(-1) (5x-3)`
(ii) Find the range (principal value branch) of the function below.
`f(x) = 3 cos^(-1) (frac{1}{2x-1))-2`
Show your work.

Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    CBSE MODEL PAPER|Exercise QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

Find the domain of the function f(x)=(1)/(1+2sin x)

Find the domain of the function f(x)=sin^(-1)(2x-3)

Find the domain of the function f(x)=sin^(-1)(2x-3)

Find the domain of the function f(x) = (1)/(sqrt(1 - cos x))

Find the domain and range of the function f(x) = sqrt(x-1)

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the domain and range of the function f(x) = x/(2 - 3x)

Find the domain of the function: f(x)=cos^(-1)(1+3x+2x^(2))

Find the domain of the function f(x)=sqrt(1-2x)+3sin^(-1)((3x-1)/(2))

The range of the principal value branch of the function y= sec^(-1)x is ............

CBSE MODEL PAPER-Additional Practice Questions-Question
  1. Two statements are given below - one labelled Assertion (A) and the ot...

    Text Solution

    |

  2. cot^(-1)x = cos^(-1)(-1)- cosec^(-1) (frac{2}{sqrt 3}) Based on the ...

    Text Solution

    |

  3. (i) Find the domain of the function below. f(x) = frac{1}{2} sec^(-1...

    Text Solution

    |

  4. The matrix A = [[6, 8, 5],[4, 2, 3],[9, 7, 1]] is the sum of a symmetr...

    Text Solution

    |

  5. Find frac{dy}{dx} if y=(e^(sec x) + x)^4. Show your work.

    Text Solution

    |

  6. The position of vectors of the points P, Q and R are hat p, hat q and ...

    Text Solution

    |

  7. In the figure below, QRST and QRTP are parallelograms. Using the ...

    Text Solution

    |

  8. The vector equation of a line AB is given by vec r=x1(1 + lambda) hat ...

    Text Solution

    |

  9. Check whether the following statement is true or false. If u = e^(si...

    Text Solution

    |

  10. If frac{x^n}{y^n}=(xy)^(m-n), (y ne 0), find frac{dy}{dx}. Show your w...

    Text Solution

    |

  11. The anti-derivative of a function of the form (3x − 1)f(x), (x ne frac...

    Text Solution

    |

  12. Evaluate the following definite integral and show your work. intfrac...

    Text Solution

    |

  13. Find the particular solution when x = y = 0 for the following differen...

    Text Solution

    |

  14. Find the general solution of the following differential equation. (x...

    Text Solution

    |

  15. Frame the below optimisation problem as a linear programming problem a...

    Text Solution

    |

  16. Nikhil has a bag of marbles that contains exactly 8 green marbles and ...

    Text Solution

    |

  17. In a recreational event at a school, there were 8 students, 6 parents,...

    Text Solution

    |

  18. Sravan is a nutritionist. He wants to create a mixture of orange juice...

    Text Solution

    |

  19. Shown below is an ellipse whose equation is frac{x^2}{81} + frac{y^2}{...

    Text Solution

    |

  20. In elastic city model, a metro track and a road above it are straight ...

    Text Solution

    |