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Let f : N ->Rbe a function defined as f...

Let `f : N ->R`be a function defined as `f(x)=4x^2+12 x+15`. Show that `f : N-> S`, where, S is the range of f, is invertible. Find the inverse of f.

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Let f: N to R be defined by f(x) = 4x^(2) + 12x+ 15 . Show that f: N to S where S is the range of function f, is invertible. Also find the inverse of f.

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Knowledge Check

  • Let f : R rarr R be a function 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

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