Home
Class 12
MATHS
The function f(x) is defined on the inte...

The function `f(x)` is defined on the interval `[0, 1]`. Find the domain of definition of the functie `f(sin x)`

Promotional Banner

Topper's Solved these Questions

  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

  • Equations, Inequation and Expressions

    A DAS GUPTA|Exercise Exercise|301 Videos

  • Heights and Distances

    A DAS GUPTA|Exercise Exercise|3 Videos

Similar Questions

Explore conceptually related problems

The function f(x) is defined on the interval [0,1]. What are the domains of definition of functions. (a) f(sin x), (b) f(2x+3)?

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

Find the domain of definition of the function f(x) = sqrt(64 - x^(2)) .

The domain of definition of the functions f(x-[x]) , is

The function f(x) is defined on the interval (0,1). What are the domains of definition of the following functions. (a) f(3x^(2)), (b) f(x-5) , (c) f(tan x)?

Find the domain of definition of the function f(x) = sqrt(x^(2) - 25)

The domain of definition of the function f(x)=7-xp_(x-3), is

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

A DAS GUPTA-Function-Exercise
  1. If log(x)y.log(xy)y.log(x^2y)y=1/6 then express y as the real function...

    Text Solution

    |

  2. f(x) is defined over [0,1]. Find the domain of the function f(2x+3)

    Text Solution

    |

  3. The function f(x) is defined on the interval [0, 1]. Find the domain ...

    Text Solution

    |

  4. f(x) is defined over [0,1]. Find the domain of the function f(cosx)

    Text Solution

    |

  5. Find the domain and range of the function y=log(e)(3x^(2)-4x+5).

    Text Solution

    |

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

    Text Solution

    |

  7. Find the domain and range of the function i. f(x)=x/|x| and ii. f...

    Text Solution

    |

  8. Find the domain and range of the followingy=|x-4|+|x-3|+|x-2|+|x-1|

    Text Solution

    |

  9. Find the domain and range of the followingf(x)=1/(3-cos2x)

    Text Solution

    |

  10. Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known th...

    Text Solution

    |

  11. Prove that the product of two odd functions is an even function while ...

    Text Solution

    |

  12. Prove that f(x)=root(3)(1-(x)^2+root(3)(1+(x)^2) is an even function

    Text Solution

    |

  13. Extend f(x)=x^2+x defined in [0,3] onto the interval[-3,3] so that f(x...

    Text Solution

    |

  14. Period of |sinx+cosx| is

    Text Solution

    |

  15. If f(x) in [1,2] where x in R and for a fixed positive real number p, ...

    Text Solution

    |

  16. Let f (x ) and g(x) be increasing and decreasing functions respectivel...

    Text Solution

    |

  17. Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))

    Text Solution

    |

  18. If f(x)=1-x/(1+x), x not equal to -1 then f{f(1/x)}=

    Text Solution

    |

  19. If f(x)=cos(logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  20. If f(x)=(x+1)/x and phi(x)=(x^4+1)/(x^4) then phi(a)=-- where f(a)=5.

    Text Solution

    |