Home
Class 12
MATHS
Consider the function f(x)=frac(3x+4)(x-...

Consider the function `f(x)=frac(3x+4)(x-2),xne2`. Find a function on a suitable domain such that `gof(x)=x=fog(X)`.

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 the function f(x)=frac(x+1)(x-1),xne1 fof(2) =__

Consider the function f(x)=frac(x+1)(x-1),xne1 f(3)+f^-1(3)

Consider the function f(x)=frac(x+1)(x-1),xne1 what is the inverse of f ?

consider the function f(x)=frac(x^4)(x+1) Evaluate intf(x)dx

Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

Consider the function f(x)=2-3x,x in R,xge0 . Find its range.

Consider the functions f(x)=sinx and g(x)=x^3 Find fog(x)

Consider the function f(x)=(x+1)^3(x-3)^3 Find critical points of f(x).

Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105 . Find f'(x).

Consider the function f(x) = (x^2 - 4)/(x - 2) Find the domain and range of f .

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. What is the minimum number of pairs to form a non - zero reflexive rel...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Show that aast(bastc)=(aastb)astc,AAa,b,c inQ.

    Text Solution

    |

  19. Let R be the relation on the set N of natural numbers given by R={(a...

    Text Solution

    |

  20. If f(x)=8x^3 and g(x)=x^(1/3), find g(f(x)) and f(g(x))

    Text Solution

    |