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Let f :RrarrR be a function defined by f...

Let `f :RrarrR` be a function defined by `f(x) = x^3 + x^2 + 3x + sin x`. Then f is

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If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^(-1)(x) is ........

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Knowledge Check

  • Let f: RtoR be function defined by f(x)=sin (2x-3) , then f is

    A
    injective
    B
    surjective
    C
    bijective
    D
    None of these

  • Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

    A
    f is one-to-one but not onto
    B
    f is onto but not one-to-one
    C
    f is both one-to-one and onto
    D
    f is neither one-to-one nor onto

  • If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^(-1)(x) is ........

    A
    `(x+5)^(1/3)`
    B
    `(x-5)^(1/3)`
    C
    `(5-x)^(1/3)`
    D
    `5 -x`