Home
Class 14
MATHS
Let f:(-oo, 1]rarr(-oo, 1] such that f(x...

Let `f:(-oo, 1]rarr(-oo, 1]` such that `f(x)=x(2-x)`, then `f^(-1)(x)` is :

A

`1+sqrt(1-x)`

B

`1-sqrt(1-x)`

C

`sqrt(1-x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|30 Videos

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Expert Level)|11 Videos

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

  • COORDINATE GEOMETRY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • Fundamentals

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

Let f:(-oo,1]rarr(-oo,1] such that f(x)=x(2-x). Then find f^(-1)(x)

If f:[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^(-1)(x)

Let f:(-oo,-1)rarr R-{1} is defined as f(x)=(x)/(x+1) Find f^(-1)(x)

If f:[1,oo)rarr[1,oo) is defined as f(x)=3^(x(x-2)) then f^(-1)(x) is equal to

If the function f:[2,oo)rarr[-1,oo) is defined by f(x)=x^(2)-4x+3 then f^(-1)(x)=

If the function, f:[1,oo]to [1,oo] is defined by f(x)=3^(x(x-1)) , then f^(-1)(x) is

Let f(0,oo) rarr (-oo,oo) be defined as f(x)=e^(x)+ln x and g=f^(-1) , then find the g'(e) .

Let f:[4,oo)to[4,oo) be defined by f(x)=5^(x^((x-4))) .Then f^(-1)(x) is

f:(-oo,oo)rarr(-oo,oo) defined by f(x)=|x| is

DISHA PUBLICATION-FUNCTIONS-Practice Exercises (Foundation Level)
  1. If f(x)=e^(x), then the value of 7 f (x) will be equal to

    Text Solution

    |

  2. If f(x)=(x+1)/(x-1), x ne 1, find f(f(f(f(f(2)))))

    Text Solution

    |

  3. Let f:(-oo, 1]rarr(-oo, 1] such that f(x)=x(2-x), then f^(-1)(x) is :

    Text Solution

    |

  4. If f(x)=x^(2)-x+1, then find the inverse of the f (x)

    Text Solution

    |

  5. f(x)= y+(1)/(y), where y gt 0. If y increases in value, then f (x)

    Text Solution

    |

  6. For what value of x, x^(2)+10x +11 will give the minimum value? (a)5 ...

    Text Solution

    |

  7. Define the following functions: (i) a "@ "b =(a+b)/(2) (ii) a# b ...

    Text Solution

    |

  8. Define the following functions: (i) a "@"b =(a+b)/(2) (ii) a# b =...

    Text Solution

    |

  9. Find fof " if " f(t)=t//(1+t^(2))^(1//2).

    Text Solution

    |

  10. If 0 lt x lt 1000 and [(x)/(2)] +[(x)/(3)]+[(x)/(5)] =(31)/(30)x, whe...

    Text Solution

    |

  11. f(x)=3x^(2), g(x)=h(x)=3x^(2)+3. The value of f(x) g(x) differ from th...

    Text Solution

    |

  12. If f(x)=|x| and g(x)=[x], then value of fog(-(1)/(4)) +gof (-(1)/(4)) ...

    Text Solution

    |

  13. If f (x) is an even function, then the graph y = f (x) will be symmetr...

    Text Solution

    |

  14. Find the maximum value of the function 1//(x^(2)-3x+2).

    Text Solution

    |

  15. The domain of definition of y=[log(10)((5x-x^(2))/(4))]^(1//2) is

    Text Solution

    |

  16. If f(t) =sqrt(t), g(t)=t//4 and h(t)=4t-8, then the formula for g(f(h(...

    Text Solution

    |

  17. If f(x)=5x^(3) and g(x)=3x^(5), then f(x).g(x) will be

    Text Solution

    |

  18. If f(x)={(1-x",", 0 le x le 2),(x-1",", 2 le x le 4),(1",", 4 le x le ...

    Text Solution

    |

  19. Given f(x)=log((1+x)/(1-x)) and g(x) = (3x+x^(3))/(1+3x^(2)), then fog...

    Text Solution

    |

  20. If x + (1)/(x) ne 0 and x ^(3) + (1)/(x ^(3)) =0 then the value (x + (...

    Text Solution

    |