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If R(+) is the set of all non-negative r...

If `R_(+)` is the set of all non-negative real numbers prove that the `f:R_(+) to (-5, infty)` defined by `f(x)=9x^(2)+6x-5` is invertible. 39. Write also, `f^(-1)(x)`.

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Explore conceptually related problems

If R, is the set of all non - negative real numbers prove that the function f:R_(+) to [-5, infty]" defined by "f(x)=9x^(2)+6x-5 is invertible. Write also f^(-1)(x) .

If R, is the set of all non-negative real numbers prove that the f : R, to [-5, oo) defined by f(x) = 9x^(2) + 6x - 5 is invertible. Write also f^(-1)(x) .

Knowledge Check

  • Let f : R to R be defined by f(x)=x^(4) , then

    A
    1.f is one - one and onto
    B
    2.f may be one - one and onto
    C
    3.f is one - one but not onto
    D
    4.f is neither one - one nor onto
  • Function f: R rarr R , defined by f(x)=x^(2)+x is

    A
    one-one, onto
    B
    one-one, into
    C
    many one, onto
    D
    many one, into
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