Home
Class 12
MATHS
Let f: R ->Rbe defined as f(x) = 10 x +...

Let `f: R ->R`be defined as `f(x) = 10 x + 7`. Find the function `g: R ->R`such that`gof=fog=1_R`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Revision Exercise|18 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 1.4)|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let f:R rarr R be defined as f(x)=10x+7 Find the function g:R rarr R such that gof=fog=I_(R)

Let f:R rarr R be defined as f(x)=10x+7 Find the function such that gof=fog=1_(R)

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

Let the function f:R to R be defined by,f(x)=4x-3. Find the function g:R to R such that (gof)(x)=8x-1.

Let f : R to R : f (x) =10x +7. Find the function g : R to R : g o f = f o g =I_(g)

The function f: R to R defined by f(x) = 4x + 7 is

If the functions f: R to R and g: R to R be defined by f (x) = 2x+1, g(x) = x^2 - 2. Find the formulae for g o f and f o g.

Let g, f:R rarr R be defined by g(x)=(x+2)/(3), f(x)=3x-2 . Write fog (x)

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Misellaneous Exercise on Chapter (1)
  1. Let f: R ->Rbe defined as f(x) = 10 x + 7. Find the function g: R ->R...

    Text Solution

    |

  2. Let f: W ->Wbe defined as f(n) = n - 1, if is odd and f(n) = n + 1, i...

    Text Solution

    |

  3. If f: R ->Ris defined by f(x) = x^2- 3x + 2, find f(f(x)).

    Text Solution

    |

  4. Show that function f: R ->{x in R : -1 < x < 1}defined by f(x)=x/(1+...

    Text Solution

    |

  5. Show that the function f: R->Rgiven by f(x)=x^3is injective.

    Text Solution

    |

  6. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

    Text Solution

    |

  7. Given examples of two functions f:" "N ->N" "a n d""""""g:" "N->N such...

    Text Solution

    |

  8. Given a non-empty set X , consider P\ (X) which is the set of all subj...

    Text Solution

    |

  9. Given a non-empty set X, consider the binary operation *: P(X)xx P(X)...

    Text Solution

    |

  10. Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ...

    Text Solution

    |

  11. Let S = {a , b , c} a n d T = {1, 2, 3}. Find F^(-1)of the following ...

    Text Solution

    |

  12. Consider the binary operations *:" "RxxR ->R and o:" "R" "xx" "R->R de...

    Text Solution

    |

  13. Given a non -empty set X, let *:" "P(X)" "xx" "P(X) ->P(X) be defined ...

    Text Solution

    |

  14. Define a binary operation *on the set {0," "1," "2," "3," "4," "5} as ...

    Text Solution

    |

  15. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

    Text Solution

    |

  16. Let A={1,2,3}. Then the number of relations containing (1,2) and (1,3)...

    Text Solution

    |

  17. Let A = {1, 2, 3}. Then number of equivalence relations containing (1...

    Text Solution

    |

  18. Let f: R->Rbe the Signum Function defined as f(x)={1,x >0 0,x=0-1,x<1 ...

    Text Solution

    |

  19. समुच्चय {a,b} में द्विआधारी संक्रियाओं की संख्या है :

    Text Solution

    |