Home
Class 12
MATHS
Write fog, if f :R to R and g:R to R are...

Write fog, if `f :R to R` and `g:R to R` are given by `f(x)= 8x^(3) and g(x) = x^(1//3)`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-2

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos
  • MODEL QUESTION PAPER-4

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

Similar Questions

Explore conceptually related problems

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).

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

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.

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.

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

Find the composition fog and gof and test whether fog = gof when f and g are functions or R given by f(x)=x^3 +1, g(x) =x^2 -2

Find the composition fog and gof and test whether fog = gof when f and g are functions or R given by f(x) = sin x, g(x), g(x) =x^5

SHARAM PUBLICATION-MODEL QUESTION PAPER-3-EXERCISE
  1. Write fog, if f :R to R and g:R to R are given by f(x)= 8x^(3) and g(x...

    Text Solution

    |

  2. write the principal value of sin^(-1)[sin((3pi)/5)].

    Text Solution

    |

  3. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] then write the val...

    Text Solution

    |

  4. Evaluate the following determinants. [[1,x,y],[0,sinx,siny],[0,cosx,c...

    Text Solution

    |

  5. What is (dy)/(dx) at t=(3pi)/4 when x= a cos^3t, and y = a sin t.

    Text Solution

    |

  6. Write the set of values of k for which the function f (x) = kx-sinx is...

    Text Solution

    |

  7. Write the value of int(x + cos6x)/(3x^2+sin6x)dx.

    Text Solution

    |

  8. Find the particular solution of the differential equation (dy)/(dx)=3...

    Text Solution

    |

  9. If veca and vecb are unit vectors and veca+vecb is also a unit vector,...

    Text Solution

    |

  10. If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...

    Text Solution

    |

  11. If Z is the set of all integers and R is the relation on Z defined as...

    Text Solution

    |

  12. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

    Text Solution

    |

  13. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

    Text Solution

    |

  14. Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...

    Text Solution

    |

  15. Sole the following LPP graphically Maximise Z=6x(1)+7x(2) Subject ...

    Text Solution

    |

  16. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

    Text Solution

    |

  17. Using elementary operation find the inverse of [(2,3),(5,7)]

    Text Solution

    |

  18. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

    Text Solution

    |

  19. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

    Text Solution

    |

  20. Find the value of k if the function f(x) defined by f(x)={(2x-1,when x...

    Text Solution

    |