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Derivative of an Inverse Function
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Let f be the function defined by $$f(x)=x^3+2x^2-x+5$$. Let $$g(x)=f^{-1}(x)$$, where $$g(7)=1$$. What is the value of $$g'(7)$$?

A

$$\frac{1}{5}$$

B

$$\frac{1}{6}$$

C

$$\frac{1}{4}$$

D

$$\frac{1}{3}$$

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