Home
Class 12
MATHS
If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , ...

If `"f"("x")=x+7` and `g(x)=x-7,\ x\ \ R ,` find `(fog)(7)`

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(x) = x+5 and g(x) = x -5 , x in R . Find (fog)(5).

If f(x) = x + 7 and g(x) = x - 7, x in R , then value of fog (7) is :

If f(x)=x+4, g(x)=2x-1 and h(x) =3x then find (fog)oh .

Find fog if f(x)= x-2 and g(x) = 3x

If f(x) = 7x + 9 and g(x) = 7x^(2) - 3 , then (f - g)(x) is equal to

Function f: R to R and g : R to R are defined as f(x)=sin x and g(x) =e^(x) . Find (gof)(x) and (fog)(x).

If f, g,: R- R be two functions defined as f(x)=|x|+x and g(x)=|x|-x ,AAxR , Then find fog and gofdot Hence find fog(-3),fog(5) and gof(-2)dot

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

If the function f:RtoR and g:RtoR are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then find x if (g of )(x) =8.

If f(x)=e^x and g(x)=(log)_e x(x >0), find fog and gof . Is fog=gof?

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Write the domain of the real function f(x)=1/(sqrt(|x|-x))

    Text Solution

    |

  2. Write whether f: R->R given by f(x)=x+sqrt(x^2) is one-one, many-one, ...

    Text Solution

    |

  3. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

    Text Solution

    |

  4. What is the range of the function f(x)=[|x-1|]/[x-1]

    Text Solution

    |

  5. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  6. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

    Text Solution

    |

  7. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

    Text Solution

    |

  8. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

    Text Solution

    |

  9. Let f: R->R be the function defined by f(x)=4x-3 for all x in R . The...

    Text Solution

    |

  10. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

    Text Solution

    |

  11. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

    Text Solution

    |

  12. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

    Text Solution

    |

  13. Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in ...

    Text Solution

    |

  14. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

    Text Solution

    |

  15. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  16. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

    Text Solution

    |

  17. Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\...

    Text Solution

    |

  18. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

    Text Solution

    |

  19. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

    Text Solution

    |

  20. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

    Text Solution

    |