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Question:

If $8762_w110_h38.png$ and g'(x) is the inverse of g(x), what is g'(-2)?

A $4810_w9_h37.png$
Explaination

Begin by finding the inverse of g(x). Replace g(x) with y: $7205_w86_h38.png$, and solve for x: $4520_w85_h41.png$, which becomes $2693_w100_h41.png$, which becomes $6541_w103_h41.png$, or $8918_w77_h41.png$, which can then be written as $2389_w106_h38.png$. Evaluating: $1685_w219_h41.png$