The function $f (x) = (x - 2)^{2} + 3$ is defined for $x \geq a$ . State the least value of $a$ for which $f$ has an inverse.

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The functions $f$ and $g$ are defined by $f (x) = 2 x + 3$ and $g (x) = x^{2} + 5$ . Find the value of $f g (2)$ .
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