Home
Class 12
MATHS
If f(x)=sinx and g(x)=2x be two real fun...

If `f(x)=sinx` and `g(x)=2x` be two real functions, then describe `gof` and `fogdot` Are these equal functions?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos
  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(x+3) and g(x)=x^2+1 be two real functions, then find fog and gof .

If f(x)=sqrt(1-x) and g(x)=(log)_e x are two real functions, then describe functions fog and gof .

If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^2dot Also, show that fof!=f^2 .

If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^2dot Also, show that fof!=f^2 .

If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^2dot Also, show that fof!=f^2 .

If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^2dot Also, show that fof!=f^2 .

If f(x)=1/x and g(x)=0 are two real functions, show that fog is not defined.

If f(x)=sqrtx(x > 0) and g(x)=x^2-1 are two real functions, find fog and gof is fog=gof ?

If f(x)=sqrtx(x > 0) and g(x)=x^2-1 are two real functions, find fog and gof is fog=gof ?

Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (x)

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

    Text Solution

    |

  2. If f(x)=2x+5 and g(x)=x^2+1 be two real functions, then describe f^...

    Text Solution

    |

  3. If f(x)=sinx and g(x)=2x be two real functions, then describe gof a...

    Text Solution

    |

  4. Let f,\ g,\ h be real functions given by f(x)=sinx , g(x)=2x and h(...

    Text Solution

    |

  5. Let f be any real function and let g be a function given by g(x)=2x...

    Text Solution

    |

  6. If f(x)=sqrt(1-x) and g(x)=(log)e x are two real functions, then de...

    Text Solution

    |

  7. If f:(-pi//2,pi//2)->R and g:[-1,\ 1]->R be defined as f(x)=tanx and g...

    Text Solution

    |

  8. If f(x)=sqrt(x+3) and g(x)=x^2+1 be two real functions, then find f...

    Text Solution

    |

  9. Let f be a real function given by f(x)=sqrt(x-2) . Find fofdot Also...

    Text Solution

    |

  10. Let f(x)=1+x, 0 leq x leq 2 and f(x)=3−x,2 lt x leq 3. Find f(f(x)).

    Text Solution

    |

  11. If f, g,: R- R be two functions defined as f(x)=|x|+x and g(x)=|x|-x...

    Text Solution

    |

  12. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(9)

    Text Solution

    |

  13. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(5)

    Text Solution

    |

  14. If f: Q->Q is given by f(x)=x^2 , then find f^(-1)(0)

    Text Solution

    |

  15. If the function f: R->R be defined by f(x)=x^2+5x+9 , find f^(-1)(8) a...

    Text Solution

    |

  16. If the function f: C->C be defined by f(x)=x^2-1 , find f^(-1)(-5) and...

    Text Solution

    |

  17. Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

    Text Solution

    |

  18. If A={1,\ 2,\ 3,\ 4} , B={2,\ 4,\ 6,\ 8} and f: A->B is given by f(x)=...

    Text Solution

    |

  19. Let S = {1, 2, 3}. Determine whether the functions f : S->Sdefined as ...

    Text Solution

    |

  20. Consider f : {1, 2, 3}->{a , b , c}given by f(1) = a, f(2) = band f(3)...

    Text Solution

    |