Home
Class 12
MATHS
Let f:RtoR be given by f(x)=frac(2x+1)(3...

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

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

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

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

f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1) .

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

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)

Given that f(x)=2x^2-3x .(i)Find f(1) and f(2)

A fuction f:RrarrR defined by f(x)=(2x-3)/7 ii.Prove 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.

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

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.

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A function f:XtoY is onto if range of f=……….

    Text Solution

    |

  19. Let f:{1,3,4}to{3,4,5} and g:{3,4,5}to{6,8,10} be functions defined by...

    Text Solution

    |

  20. Let Q be the set of Rational numbers and 'ast' be the binary operation...

    Text Solution

    |