Home
Class 12
MATHS
Consider f:RtoR given by f(x)=5x+2 Is ...

Consider `f:RtoR` given by `f(x)=5x+2`
Is `f` invertible? Justify your answer.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos
  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

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

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

The function f:NtoN given by f(x)=2x

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

Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=frac(x-2)(x-3) . Is f one-one and onto? Justify your answer.

Let A = R - {-3} and B = R - {1} Consider the function f : A rarr B defined by f(x) = (x-2)/(x-3) . Is f one-one and onto ? Justify your answer.

Let A=R-{3} and B=R-{1} Consider the function f:ArarrB defined by f(x)=frac(x-2)(x-3) Is f one-one and onto? Justify your answer.

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)

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

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)

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

    Text Solution

    |

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

    Text Solution

    |

  3. Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your ans...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Let f:RtoR be given by f(x)=frac(2x+1)(3) find fof and show that f i...

    Text Solution

    |

  7. Find the identity element of the binary operation ast on N defined by ...

    Text Solution

    |

  8. What is the minimum number of pairs to form a non - zero reflexive rel...

    Text Solution

    |

  9. On the set R of real numbers, S is a relation defined as S={(x,y)//x...

    Text Solution

    |

  10. Consider the function f(x)=frac(3x+4)(x-2),xne2. Find a function on a ...

    Text Solution

    |

  11. If f:RtoR and g:RtoR defined by f(x)=x^2 and g(x)=x+1, then gof(x) is

    Text Solution

    |

  12. Consider the function f:NtoN, given by f(x)=x^3. Show that the functio...

    Text Solution

    |

  13. The given table shows an operation aston A={p,q} (Figure) Is ast a ...

    Text Solution

    |

  14. The given table shows an operation aston A={p,q} (Figure) Is ast co...

    Text Solution

    |

  15. Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

    Text Solution

    |

  16. Find fog and gof if f(x)=abs(x+1) and g(x)=2x-1

    Text Solution

    |

  17. Let ast be a binary operation defined on NtimesN by (a,b)ast(c,d)=(a+c...

    Text Solution

    |

  18. If R={(x,y):x,y inZ,x-y inZ}, then the relation R is

    Text Solution

    |

  19. Let ast be a binary operation on the set Q of rational numbers by aast...

    Text Solution

    |

  20. Let f:RtoR,g:RtoR be two one-one functions. Check whether gof is one-o...

    Text Solution

    |