Home
Class 12
MATHS
The composition of functtions is associa...

The composition of functtions is associative

Text Solution

Verified by Experts

The correct Answer is:
N/a

True
Let ` " " f(x)=x, g(x)=x+1`
and ` " " h(x)=2x-1`
Then, ` " " fo{goh(x)}=f[g{h(x)}]`
` =f{g(2x-1)}`
`=f(2x-1+1)`
`=f(2x)=2x`
` :. (fog)oh(x)=(fog){h(x)}`
`=(fog)(2x-1)`
`=f{g(2x-1)}`
`=f(2x-1+1)`
`=f(2x)=2x`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Probability|107 Videos
  • THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Three Dimensional Geometry|46 Videos

Similar Questions

Explore conceptually related problems

The composition of rust is

The composition of functions is not commutative

Age Composition

The composition of cuprite is

The composition of tritium is

The composition of tritium is

The composition of urotropine is :

The composition of honey is

The composition of stele is

NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
  1. If f(x) is defined on [0, 1] by the rule f(x)={x, if x is ration...

    Text Solution

    |

  2. If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then th...

    Text Solution

    |

  3. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

    Text Solution

    |

  4. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

    Text Solution

    |

  5. If f:R to R be given by f(x)= tan x, then f^(-1)(1) is

    Text Solution

    |

  6. Let the relation R be defined in N by a R b, if 2a + 3b = 30. Then R =...

    Text Solution

    |

  7. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

    Text Solution

    |

  8. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

    Text Solution

    |

  9. If f:R to R be defined by f(x) = (x)/(sqrt(1 +x^(2) )), then (fofof)...

    Text Solution

    |

  10. If f(x) = [4-(x-7)^(3)], then f^(-1)(x)= ………… .

    Text Solution

    |

  11. State true or false for the given statement : Let R = { (3, 1), (1,...

    Text Solution

    |

  12. If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Th...

    Text Solution

    |

  13. Every relation which is symmetric and transitive is also reflexive.

    Text Solution

    |

  14. An integer m is said to be related to another integer n if m is a m...

    Text Solution

    |

  15. Let A = {0, 1} and the set of all natural numbers.Then the mapping f: ...

    Text Solution

    |

  16. The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2),...

    Text Solution

    |

  17. The composition of function is commutative.

    Text Solution

    |

  18. The composition of functtions is associative

    Text Solution

    |

  19. Every function is invertible.

    Text Solution

    |

  20. A binary operation on a set has always the identity element.

    Text Solution

    |