Question 808296
f(x)=6/x
g(x) = -6/x
f(g(x)) = 6/(-6/x) = -x
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g(f(x)) = -6/(6/x) = -x 
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y = 6/x
Swap x & y
x = 6/y
Solve for y
y = 6/x is the inverse.  Not negative.