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Given the graph of $f$ above (consisting of a triangle and semicircle) and $g(x)=\int_{-4}^{x}{f(t)dt}$, what is the tangent line to $g(x)$ at $x=0$?

A

$x=0$

B

$y=2x$

C

$y=-8$

D

$y=8$

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