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Math Question

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Identify the transformations of the graph of \( f(x)=\frac{1}{x} \) that produce the graph of the given function \( g(x) \). Then graph \( g(x) \) on the same coordinate plane as the graph of \( f(x) \) by applying the transformations on the asymptotes \( x=0 \) and \( y=0 \) to the refere points \( (-1,-1) \) and \( (1,1) . \) Also, state the domain and range of \( g(x) \) using inequalities.
1. \( g(x)=2\left(\frac{1}{x+1}\right)-2 \)

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