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

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

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Consider f:RtoR given by f(x)=3x+2 show that f is invertible. Find the inverse of f

Consider f:RrarrR , f(x)=4x+5. Show that f is invertible.

Let f: R rarr R , where f(x) = sinx , Show that f is into

Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if n is even. Show that f is invertible. Find the inverse of f. Here W is the set of all whole numbers.

Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

Consider f:R_+ rarr[-5,infty) given by f(x)=9x^2+6x-5 .Show that f is invertible with f^-1(y)=((sqrt(y+6)-1)/3)

Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5 . Show that f is invertible with f^-1(y)=frac(sqrt(y+6)-1)(3)

Let N rarr R be a function defined as f(x) = 4x^2 + 12x +15 Show that f : N rarr S , where, S is the range of f, is invertible. Find the inverse of f.

If f: RrarrR be defined by f(x)=3x+2.Show that f is invertible.Find f^-1:RrarrR .Hence find f^-1(3) and f^-1(0)

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Are 'f' and 'g' both necessarily onto, if gof, is onto?

    Text Solution

    |

  2. Let f:{1 , 2,3 ,} rarr {a, b, c} be one-one, and onto function given b...

    Text Solution

    |

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

    Text Solution

    |

  4. Consider of f : N rarrN and h : N rarr R defined as f(x) = 2x, g(y) = ...

    Text Solution

    |

  5. Let S = {1, 2, 3}. Determine whether the function f : S rarr S defined...

    Text Solution

    |

  6. Let f : {1, 3, 4} rarr {1, 2, 5} and g : {1, 2, 5} rarr (1, 3} be gi...

    Text Solution

    |

  7. Let f, g, and h be functions from R to R. Show that (f + g) o h = fo...

    Text Solution

    |

  8. Find f o g and g o f f(x) = |x| and g(x) = |5x -2|

    Text Solution

    |

  9. If f(x) =(4x + 3)/(6x - 4), x ne 2/3, show that (fof)(x) = x, for all ...

    Text Solution

    |

  10. State with reason whether the following functions have inverse f : {...

    Text Solution

    |

  11. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

    Text Solution

    |

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

    Text Solution

    |

  13. Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5. Show that f is ...

    Text Solution

    |

  14. Let f : X rarr Y be invertible, show that f has unique inverse

    Text Solution

    |

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

    Text Solution

    |

  16. Let f : X rarr Y be invertible, show that the inverse of f^(-1) = f, ...

    Text Solution

    |

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

    Text Solution

    |

  18. f : R - {(-4)/3} rarr R be a function defined as f(x) = (4x)/(3x +4). ...

    Text Solution

    |

  19. Can you define a function from 'RxR rarr R' such as 'f3: RxR rarr, R' ...

    Text Solution

    |

  20. Can yóu define a function from 'R xx R rarr R' such as 'f4: R xx R rar...

    Text Solution

    |