Home
Class 12
MATHS
Let f(x)=x^2+x+1 and g(x)=sinx . Show th...

Let `f(x)=x^2+x+1` and `g(x)=sinx` . Show that `fog!=gof` .

Text Solution

Verified by Experts

The correct Answer is:
NA
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SCQ_TYPE|97 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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 .

Find gof and fog, if f" ":" "R ->R and g" ":" "R ->R are given by f(x)" "=" "cos" "x and g(x)=3x^2 . Show that gof!=fog .

Statement-1: If f:R to R and g:R to R be two functions such that f(x)=x^(2) and g(x)=x^(3) , then fog (x)=gof (x). Statement-2: The composition of functions is commulative.

Let f(x)=[x] and g(x)=|x|, AA x epsilon R then value of gof((-5)/3)+fog((-5)/3) is equal to : (where fog(x)=f(g(x)))

Let f(x)=sin x and g(x)=In|x|. If the ranges of the composition functions fog and gof are R_(1), and R_(2) respectively,then

Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation fog(x)=gof(x) is R (b) {0} (c) {0, 2} (d) none of these

RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  2. Find for what values of x the following functions would be identical. ...

    Text Solution

    |

  3. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

    Text Solution

    |

  4. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

    Text Solution

    |

  5. Find fog and gof if: f(x)=e^(x),g(x)=lnx

    Text Solution

    |

  6. Find fog and gof if: f(x)=|x|,g(x)=sinx

    Text Solution

    |

  7. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

    Text Solution

    |

  8. Find fog and gof if: f(x)=x^(2)+2,g(x)=1-1/(1-x),x!=1

    Text Solution

    |

  9. If f(x) = ln(x^2 - x + 2) ; RR^+ rarr RR and g(x) = {x} + 1; [1, 2] ra...

    Text Solution

    |

  10. If f(x)=[ 1+x^2 ; x<=1 ,x+1; 1< x<=2 and g(x)=1-x ; -2<=x<=1 then de...

    Text Solution

    |

  11. If f(x)=(x+2)/(x+1)and g(x) =(x-2)/x, then find the domain of fog(x)

    Text Solution

    |

  12. If f(x)={(sqrt(2)x,xepsilonQ-{0}),(3x,xepsilonQ^(c)):} then define fof...

    Text Solution

    |

  13. Let f(x){(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x):{(x^(2),-1l...

    Text Solution

    |

  14. If f(x)=(4^(x))/(4^(x)+2), then show that f(x)+f(1-x)=1

    Text Solution

    |

  15. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  16. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  17. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  18. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  19. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |

  20. Determine whether the following functions are even or odd or neither e...

    Text Solution

    |