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Consider f : R+rarr [4, oo) given byf (x...

Consider `f : R_+rarr [4, oo)` given by`f (x) = x^2 + 4` Show that f is invertible with the inverse `f ^–1,of f given by f ^–1(y) = sqrt(y - 4)`, where `R_+` is the set of all non-negative real numbers.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  2. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

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  3. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

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  4. Consider f: Rrarr[-5, oo] given by f(x) = 9x^2 + 6x - 5. Show that f ...

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  5. Let f : X rarr Y be an invertible function. Show that f has unique inv...

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