Home
Class 12
MATHS
Consider f : R → R given by f(x) = 4x + ...

Consider f : R → R given by `f(x) = 4x + 3`. Show that f is invertible. Find the inverse of f.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

The function f:R rarr R given by f(x) = 4x + 3. Show that f is invertible. Find the inverse of 'f'.

Consider f : R rarr R given by the following. Show that 'f' is invertible. Find the inverse of 'f'. F(x) = 4x+3

Consider f : R rarr R given by the following. Show that 'f' is invertible. Find the inverse of 'f'. F(x) = 5x+2

Consider f: Rrarr [- 5, ∞) given by f(x) = 9x^2 + 6x- 5 . Show that f is invertible. Find the inverse of f.

Consider f : R_+rarr [4, oo) given by f (x) = x^2 + 4 Show that f is invertible with the inverse f ^–1,of f given by f ^–1(y) = sqrt(y - 4) , where R_+ is the set of all non-negative real numbers.

Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show that f is invertible. Find the inverse of f.

Consider f:R^(+) rarr [-5, oo] given by f (x) = 9x^(2) + 6x - 5 show that 'f' is invertible. Find the inverse of f .

Let f= R rarr R be defined by f(x)=3x-7. Show that f is invertible.

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. State with reason whether following functions have inverse: g: {5,6,7,...

    Text Solution

    |

  2. State with reason whether following functions have inverse: h: {2,3,4,...

    Text Solution

    |

  3. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

    Text Solution

    |

  4. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

    Text Solution

    |

  5. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

    Text Solution

    |

  6. Let f : X rarr Y be an invertible function. Show that the inverse of ...

    Text Solution

    |

  7. If f : R rarr R, be given by f(x) =(3 - x^3 )^(1/3) , then fo...

    Text Solution

    |

  8. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

    Text Solution

    |

  9. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  10. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  11. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  12. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  13. Determine whether or not each of the definition of '*' given below giv...

    Text Solution

    |

  14. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  15. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  16. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  17. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  18. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  19. For operation ∗ defined below, determine whether ∗ is binary, commutat...

    Text Solution

    |

  20. Consider the binary operation ^^ on the set {1, 2, 3, 4, 5} defined ...

    Text Solution

    |