Home
Class 12
MATHS
If f: R to R and g: R to R be two func...

If `f: R to R and g: R to R ` be two functions defined as `f(x)=x^(2) and g(x)=5x` where ` x in R ` , then prove that (fog)(2) `ne` (gof) (2).

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1c|9 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1d|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercies 1a|16 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

If f and g are two functions from R to R which are defined as f(x)=x^(2)+x+1 and g(x)=2x-1 for each x in R , then show that (fog) (x) ne (gof) (x).

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

Let f,g:R rarr R be two functions defined as f(x)=|x|+x and g(x)=|x|-x, for all x in R. Then find fog and gof.

Let f,g:Rvec R be a two function defined as f(x)=|x|+x and g(x)=|x|-x for all x in R. Then,find fog and gof

Let f : R rarr R and g : R rarr R be two given functions defined as f(x) = 3x^(2) + 2 and g(x) = 3x-1, AA x in R Then find [(gof)(x)] at x = 1.

Let f : R to R and g : R to R be given by f (x) = x^(2) and g(x) =x ^(3) +1, then (fog) (x)

If f,g:R rarr R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Find fog and gof.Hence find fog(-3), fog (5) and gof(-2).

Let f:R rarr R and g:R rarr R be defined by f(x)=x^(2) and g(x)=x+1. Show that fog != gof

NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS -Exercies 1b
  1. f: R to R is a function where f(x)= 2x-3 . Check whether f is noe -on...

    Text Solution

    |

  2. On set A= {1,2,3}, relation R and S are given by R={(1,1),(2,2),(3,3)...

    Text Solution

    |

  3. Prove that f:N-> N defined by f(x) = 2x, x in N is one-one and into.

    Text Solution

    |

  4. If R is the set of real numbers and a function f: R to R is defined a...

    Text Solution

    |

  5. If Q is the set of rational numbers, then prove that a function f: Q t...

    Text Solution

    |

  6. If R is the set of real numbers then prove that a function f: R to R ...

    Text Solution

    |

  7. Prove that the function f: R^(+) to R which is defined as f(x)=log(e)...

    Text Solution

    |

  8. If R is the set of real numbers prove that a function f: R -> R,f(x)=...

    Text Solution

    |

  9. A function f: R to R is defined as f(x)=4x-1, x in R, then prove that...

    Text Solution

    |

  10. Let A=R-{3} and B=R-[1]dot Consider the function f: A to B defined by ...

    Text Solution

    |

  11. Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show th...

    Text Solution

    |

  12. If a function f: R to R is defined as f(x)=x^(3)+1, then f is

    Text Solution

    |

  13. Function f: R to R and g : R to R are defined as f(x)=sin x and g(x) ...

    Text Solution

    |

  14. If f: R to R and g: R to R be two functions defined as f(x)=2x+1 an...

    Text Solution

    |

  15. If f and g are two functions from R to R which are defined as f(x)=x^(...

    Text Solution

    |

  16. If f: R to R and g: R to R be two functions defined as f(x)=x^(2) an...

    Text Solution

    |

  17. If f: R to R defined as f(x)=3x+7, then find f^(-1)(-2)

    Text Solution

    |

  18. If Q is the set of rational numbers and a function f:Q to Q is define...

    Text Solution

    |