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Let R+ be the set of all non-negative re...

Let R+ be the set of all non-negative real numbers. Show that the function `f : R+ rarr [ 4 ,oo ]` given by `f(x) = x^(2) + 4` is invertible and write the inverse of f.

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Let R_(+) be the set of all non-negative real numbers. Show that the function f:R_(+) to[4,oo] given by f(x)=x^(2) +4 is invertible and write the inverse of f.

Let R_(+) be the set of all non-negative real numbers. Show that the function f: R_(+) to [4,oo] defind by f(x) = x^(2)+4 Is invertible and write the inverse of f.

Knowledge Check

  • The function f : R rarr R given by f(x) = 5-3 sin x

    A
    only one-one
    B
    only onto
    C
    both one-one and onto
    D
    neither one-one nor onto

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    Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'.

    Let R+ be the set of all non-negative real number. Show that the faction f : R, to [4, oo) defined f(x) = x^(2) + 4 is invertible. Also write the inverse of f.

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