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Answer:
[tex]\boxed{-10000}[/tex]
Step-by-step explanation:
[tex]F(x)=\frac{1}{x}[/tex]
Let x = -10000
[tex]F(-10000)=\frac{1}{-10000}[/tex]
[tex]F(-10000)= -0.0001[/tex]
-0.0001 is closest to 0 when x value is -10000.
No other value can work from the other options, options B and C increase the value from 0. Option D would make the function undefined.