Home
Class 12
MATHS
Let f,\ g and h be functions from R to R...

Let `f,\ g` and `h` be functions from `R` to `R` . Show that `(fog)oh=(foh)(goh)`

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

Let f,\ g and h be functions from R to R . Show that (f+g)oh=foh+goh

Let f, g and h be functions from R to R. Show that 1. (f+g)oh=foh+goh 2. (f.g)oh= (foh).(goh)

If f,g,\ h are three functions defined from R\ to\ R as follows: the range of h(x)=x^2+1

If f,g,\ h are three functions defined from R\ to\ R as follows: the range of h(x)=x2+1

Let f be a function from R to R such that f(x)=cos(x+2) . Is f invertible? Justify your answer.

Let f: R rarr R be defined as f(x)=10 x+7. Find the function g: R rarr R such that gof=fog=I_Rdot

If f,g,\ h are three functions defined from R\ to\ R as follows: Find the range of f(x)=x^2

Let f: R vec be defined as f(x)=10 x+7. Find the function g: RvecR such that gof=fog=I_Rdot

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).

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

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f: Z->Z be defined by f(x)=2x for all x in Z . Find g: Z->Z such t...

    Text Solution

    |

  2. Let f,\ g and h be functions from R to R . Show that (f+g)oh=foh+goh

    Text Solution

    |

  3. Let f,\ g and h be functions from R to R . Show that (fog)oh=(foh)(goh...

    Text Solution

    |

  4. Let f: R->R be the signum function defined as f(x)={1,\ x >0,\ \ \ \ 0...

    Text Solution

    |

  5. Let A={x in R :0lt=xlt=1}dot If f: AvecA is defined by f(x)={x ,ifx i...

    Text Solution

    |

  6. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

    Text Solution

    |

  7. If f: R->R be given by f(x)=sin^2x+sin^2(x+pi//3)+cosx\ cos(x+pi//3) f...

    Text Solution

    |

  8. Let f: ZvecZ be defined by f(n)=3n for all n in Z and g: Zvec be defi...

    Text Solution

    |

  9. Let f: R->R be a function given by f(x)=a x+b for all x in R . Find t...

    Text Solution

    |

  10. Let f: A->A be a function such that fof=f . Show that f is onto if and...

    Text Solution

    |

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

    Text Solution

    |

  12. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+3 and ...

    Text Solution

    |

  13. Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+x^2 an...

    Text Solution

    |

  14. Find fog(2) and gof(1) when: f: R rarr R ;f(x)=x^2+8 and g: R rarr ...

    Text Solution

    |

  15. Find gof and fog when f: R->R and g: R->R is defined by f(x)=x and g(x...

    Text Solution

    |

  16. Find gof and fog when f: R->R and g: R->R is defined by f(x)=x^2+2x-3 ...

    Text Solution

    |

  17. Find gof and fog when f: R->R and g: R->R is defined by f(x)=8x^3 and ...

    Text Solution

    |

  18. Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g={(1,\ 3),\ (3,\ 3),\ (4,\ ...

    Text Solution

    |

  19. Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(-2 ,-4),(-3,-6),(...

    Text Solution

    |

  20. Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions f...

    Text Solution

    |