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Answer:
A
Step-by-step explanation:

Now replace $x$ by $g^{-1}(x)$ and $g(x)$ by $x$ and you have your answer.

take the derivitive to find the slope


so at x=1, the slope is f'(1)=6(1)^2-4=6-4=2
y=mx+b
y=2x+b
find b
at x=1, f(1)=2(1)^3-4(1)=2-4=-2=y
-2=2(1)+b
-2=2+b
-4=b
equation is y=2x-4