Home
Class 11
MATHS
If f(x)=1-1/x then write the value of f(...

If `f(x)=1-1/x` then write the value of `f(f(1/x))dot`

Text Solution

Verified by Experts

The correct Answer is:
`(x)/(x-1)`
`f((1)/(g))=((1)/(x)-1)/((1)/(x))=(1-x)impliesf{f((1)/())}=((1-x)-1)/(1-x)=(-x)/(1-x)=(x)/(x-1)`.
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3E|5 Videos

  • ELLIPSE

    RS AGGARWAL|Exercise EXERCISE|26 Videos

  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12H (Very Short Answer Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x+1)/(x-1) , then the value of f(f(2)) is

If f(x)=|x|+|x-1|, write the value of (d)/(dx)f(f(x))

If f(x)=x+(1)/(x) , then the value of f(x)-f((1)/(x)) is

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If 5f(x)+4f((1)/(x))=x-1,x!=0 then write the value of 9f(2)

If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

If f(x)=-x then the value of f(-1) is

f(x)=(1-x)/(1+x) find the value of f{f(1/a)}

If f(1)=1,f'(1)=2, then write the value of (lim)_(x rarr1)(sqrt(f(x))-1)/(sqrt(x)-1)

RS AGGARWAL-FUNCTIONS-EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS
  1. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

    Text Solution

    |

  2. Let X={-1,0,2,5}andf:XtoR:f(x)=x^(3)+1. Then, write f as a set of orde...

    Text Solution

    |

  3. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  4. Let f:RtoR:f(x)=x^(2). Determine (i) range (f) (ii) {x:f(x)=4}

    Text Solution

    |

  5. Let f: R->R be defined as f(x)=x^2+1 . Find:

    Text Solution

    |

  6. Let f:R^+ -> R is a function defined as f(x) = log x. Find (i) Image o...

    Text Solution

    |

  7. Let A={6,10,11,15,21}" and Let "f:AtoN:f(n) is the highest prime facto...

    Text Solution

    |

  8. Find the range of the function f(x)=sinx.

    Text Solution

    |

  9. Find the range of the function f(x)=|x|.

    Text Solution

    |

  10. Write the domain and the range of the function f(x)=sqrt(x+[x]).

    Text Solution

    |

  11. If f(x)=(x-5)/(5-x) then find dom (f) and range (f).

    Text Solution

    |

  12. Let f={(1,6),(2,5),(4,3),(5,2),(8-1),(10,-3)} and g={(2,0),(3,2),(5,6...

    Text Solution

    |

  13. If f(x)=1-1/x then write the value of f(f(1/x))dot

    Text Solution

    |

  14. If f(x)=(kx)/(x+1), where xne-1andf{f(x)}=x" for "xne-1 then find the ...

    Text Solution

    |

  15. Find the range of the function, f(x)=(x)/(|x|)

    Text Solution

    |

  16. Find the domain of the function, f(x)=log|x|.

    Text Solution

    |

  17. If f is a real function satisfying f(x+1/x)=x^2+1/(x^2) for all x in ...

    Text Solution

    |

  18. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  19. Find the domain and the range of the real function f defined by f(x)=...

    Text Solution

    |

  20. Write the domain and the range of the function, f(x)=-|x|.

    Text Solution

    |