Home
Class 12
MATHS
If F : R rarr R is given by f(x) = (3-x^...

If F : R `rarr` R is given by f(x) = `(3-x^(3))^(1//3)` then find ( fof ) x .

Text Solution

Verified by Experts

The correct Answer is:
`x`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section B|45 Videos
  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos
  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos
  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 Videos

Similar Questions

Explore conceptually related problems

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

If the function'f : R rarr R is given by f(x) = x^(2) +2 and g:R rarr R is given by g(x) = (x)/(x-1), x ne 1 then find fog and gof and hence find fog (2) and gof (-3) .

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

Let f:R rarr R be defined by f(x) = x^(2) +1 Then, find pre-images of 17 and - 3.

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).

ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section C
  1. If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) ...

    Text Solution

    |

  2. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

    Text Solution

    |

  3. Show that the right circular cone of least curved surface area and giv...

    Text Solution

    |

  4. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  5. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  6. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  7. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  8. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  9. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |

  10. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

    Text Solution

    |

  11. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

    Text Solution

    |

  12. Show the following system of equations is consistent 2x - y + 3z = 5, ...

    Text Solution

    |

  13. If A and B are two independent events such that P(barAcapB)=2/15 and P...

    Text Solution

    |

  14. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

    Text Solution

    |

  15. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

    Text Solution

    |

  16. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  17. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  18. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  19. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  20. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  21. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |