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If f:RtoR is given by f(x)= (3-x^(3))^((...

If `f:RtoR` is given by `f(x)= (3-x^(3))^((1)/(3))` then sind `(fof)(x)`.

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Knowledge Check

  • If f : R to R be given by f (x) = (3 -x ^(3)) ^(1/3), then fof (x) is

    A
    `x ^(1/3)`
    B
    `x ^(3)`
    C
    `x`
    D
    `(3-x ^(3)).`

  • If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    A
    `{2,-2}`
    B
    `{2,2}`
    C
    `{2}`
    D
    `{2,omega,2omega^(2)}`

  • Let f(x)=(x^(2)-4)^(1//3) , then f has a :

    A
    local maxima at x = 0
    B
    local minima at x = 0
    C
    point of inflexion at x = 0
    D
    None of these.

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