Derivative of an Inverse Function from a Table

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The table above shows selected values for an increasing function $h$ and its derivative $h'$ . If $g$ is a differentiable function such that $h(g(x)) = x$ for all $x$ , what is the value of $g'(7)$ ?

$x$	$3$	$7$
$h(x)$	$7$	$22$
$h'(x)$	$5$	$10$

$\frac{1}{5}$

$-\frac{1}{10}$

$\frac{7}{5}$

$\frac{1}{10}$

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