Derivative of an Inverse Function

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Let $f$ be the function defined by $f(x)=x^3+2x^2-x+5$ . If $g$ is the inverse function of $f$ and $g(7)=1$ , what is the value of $g'(7)$ ?

$\frac{1}{3}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{6}$

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