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Consider f, R^(+ ) to [-5 , oo) given by...

Consider `f, R^(+ ) to [-5 , oo)` given by `f(x) = 9x^(2) + 6x-5`. Show that `f` is invertible with `f^(-1) (y) =(((sqrt( y+6)) - 1)/( 3))`, where `R^(+)` is the set of all non-negative real numbers.

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Knowledge Check

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

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    Does not exist
    D
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