Home
Class 12
MATHS
Let f:RrarrR be defined as f(x) = 10x+7 ...

Let `f:RrarrR` be defined as f(x) = 10x+7
Find the function `g:RrarrR` such that gof = fog = `I_R`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

  • PROBABILITY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|318 Videos

  • THREE DIMENSTIONAL GEOMETRY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

If f(x) = (ax^2 +b)^3 , then find the function g such that f(g(x)) = g (f(x)) .

Let f, g: R rarr R be defined by f(x)=x^2+1 and g(x)=sin x . Find f o g and gof .

If f: RrarrR be defined by f(x)=2x-3 and g:RrarrR be defined by g(x)=(x+3)/2 .Show that fog=I_R=gof

Let f: RrarrR , be defined as f(x) = e^(x^2) + cos x , then f is a)one-one and onto b)one-one and into c)many-one and onto d)many-one and into

A fuction f:RrarrR defined by f(x)=(2x-3)/7 .Is f a one-one function?Why?

Consider the function f:RrarrR defined by f(x)=-abs[x] Find the domain and range of f.

Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2x -3 . find f + g,f - g and f/g

A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Consider an operation ** defined on the set A={1,2,4,8} by a**b=LCM ...

    Text Solution

    |

  2. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

  3. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  4. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  5. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  6. Let ** be a binary operation on the set Q of rational numbers as follo...

    Text Solution

    |

  7. Consider the binary operation ast on the set R of real numbers, define...

    Text Solution

    |

  8. Determine whether or not each of the definitions of ** given below giv...

    Text Solution

    |

  9. Find which of the following of the operations given above has identity...

    Text Solution

    |

  10. Find which of the following of the operations given above has identity...

    Text Solution

    |

  11. Find which of the following of the operations given above has identity...

    Text Solution

    |

  12. Find which of the following of the operations given above has identity...

    Text Solution

    |

  13. Let ** be a binary operation on the set Z of integers as a**b=a+b+1. T...

    Text Solution

    |

  14. Let A=NtimesN and ast be a binary operation on A defined by (a,b)...

    Text Solution

    |

  15. State whether the following statements are true or false. Justify For...

    Text Solution

    |

  16. State whether the following statements are true or false. Justify If ...

    Text Solution

    |

  17. Consider a binary operation ** on N defined as a**b=a^3+b^3. Choose th...

    Text Solution

    |

  18. Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR s...

    Text Solution

    |

  19. Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if...

    Text Solution

    |

  20. If f:RrarrR is defined by f(x) = x^2-3x+2, find f(f(x))

    Text Solution

    |