Home
Class 12
MATHS
If f, g: Rrarr R are defined by f(x) = x...

If `f, g: Rrarr R` are defined by `f(x) = x^2 + 3x+1,g(x) = 2x – 3` then find fog .

Text Solution

Verified by Experts

The correct Answer is:
`4x^2-6x+1`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS )|8 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then find gof .

If f, g : R rarr R are defined respectively by : f (x) = 8x^3 , g (x) = x^3 . Find fog and gof.

If f, g : R rarr R a re defined respectively by, f(x) = 8x^3 , g (x) = x^1//3 , then find fog and gof.

If f:R rarr R is defined by f(x) = x^2 – 3x + 2 , find f(f(x))

If f : R rarr R is defined by f(x) = x^2 – 3x + 2 , find f (f (x)) .

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

If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 , g (x) = 2x- 3 . Find fog and gof.

If f, g : R rarr R such that : f (x) = x^2 , g (x) = x + 1, then find fog and gof.

BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - ...

    Text Solution

    |

  2. Let f(x) = [x] and g(x) = |x| then find the value of (gof) (5/3) -...

    Text Solution

    |

  3. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

    Text Solution

    |

  4. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

    Text Solution

    |

  5. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

    Text Solution

    |

  6. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

    Text Solution

    |

  7. Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2,...

    Text Solution

    |

  8. Give an example of a relation which is reflexive and transitive but no...

    Text Solution

    |

  9. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

    Text Solution

    |

  10. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

    Text Solution

    |

  11. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

    Text Solution

    |

  12. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

    Text Solution

    |

  13. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

    Text Solution

    |

  14. Find fog and gof , if f(x) = x^2 , g (x) = x +1

    Text Solution

    |

  15. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

    Text Solution

    |

  16. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

    Text Solution

    |

  17. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

    Text Solution

    |

  18. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

    Text Solution

    |

  19. Check the injectivity and surjectivity of the following function: f ...

    Text Solution

    |

  20. Check the injectivity and surjectivity of the following function: f :...

    Text Solution

    |