Home
Class 12
MATHS
If f:RrarrR and g:RrarrR is defined by f...

If `f:RrarrR` and `g:RrarrR` is defined by f(x)=sinx and `g(x)=5x^2`, then (gof)(x).

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2020

    SHARAM PUBLICATION|Exercise EXERCISE|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

If f: RrarrR and g:RrarrR is given by f(x)=abs(x) and g(x)=abs(5x-2) then write fog(x).

If f:RrarrR and g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3) , then write fog.

If f:R to R and g:R to R are given by f(x)=sin x and g(x) =x^(5) , then find gof(x).

Find gof and fog, if f: R rarr R and g: R rarr R are given by f(x) = cos x and g(x) = 3x^(2) , then show that gof ne fog.

Find gof and fog, if f :R rarr R and g:R rarr R are given by (i) f(x) = sinx and g(x) = 4x^(2) . (ii) f(x) = x^(2) and g(x) = 2x +1.

Write fog if f:R rarr R and g: R rarr R is given by f(x) = | x| and g(x) = |5x - 2|.

If f:RrarrR be a function defined by f(x)=cos(5x+2), then f is

Let f(x)=x^2 and g(x)=sqrtx . Then find (gof)(4).

If f(x) = sqrtx and g (x) = x/4 then what is (g of) (x).?

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

SHARAM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If f:RrarrRand g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3), then ...

    Text Solution

    |

  2. If f(x)=(1-x^(3))^(1/3) then find fof(x).

    Text Solution

    |

  3. If f:RrarrR and g:RrarrR is defined by f(x)=sinx and g(x)=5x^2, then (...

    Text Solution

    |

  4. If f: RrarrR and g:RrarrR is given by f(x)=abs(x) and g(x)=abs(5x-2) t...

    Text Solution

    |

  5. If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

    Text Solution

    |

  6. If the fuction f:RrarrR defined by f(x)=3x-4 is invertible, then find ...

    Text Solution

    |

  7. If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then...

    Text Solution

    |

  8. State whether the function f:NrarrN defined by f(x)=5x is injective, s...

    Text Solution

    |

  9. If f(x)=x^3 and g(x)=x^(1/3). Then find gof(x):

    Text Solution

    |

  10. If R be a relation from the set A to the set B, then-

    Text Solution

    |

  11. If A={1, 2, 3, 4, 5} then the relation R={(1,1), (2, 2), (3, 3), (4, 4...

    Text Solution

    |

  12. If A be non-empty set of children in a family then the relation "a is ...

    Text Solution

    |

  13. If a set A has n elements and another set B has m elements, what is th...

    Text Solution

    |

  14. If R be a relation on a finite set A having n elements, then the numbe...

    Text Solution

    |

  15. If R be the largest equivalence relation on a set A and S is any relat...

    Text Solution

    |

  16. If n(A)=4 and n(B)=6 then the number of one-one function from A to B i...

    Text Solution

    |

  17. If f(x)=cos loge^x then f(x)*f(y)-1/2[f(xy)+f(x/y)]=

    Text Solution

    |

  18. If the mapping is f:RrarrR given by f(x)=4x^3-12x then image of the in...

    Text Solution

    |

  19. If f(x)=(a-x^n)^(1/n) where a>0 and ninNthen fof(x) is equal to-

    Text Solution

    |

  20. If f:RrarrR be a function defined by f(x)=cos(5x+2), then f is

    Text Solution

    |