Question 541042
(4x^-2x-2)/(x-1) = (2*(2x^2-x-1))/(x-1) = (2*(x-1)*(2x+1))/(x-1)
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The (x-1) terms cancel.
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2*(2x+1)
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That is a simplification of the expression.  
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To take the answer further would require an equation.
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To illustrate, if we assume:
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y =(4x^-2x-2)/(x-1)
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Then we can graph it.
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{{{ graph(500,500,-10,10,-10,20,(4x^-2x-2)/(x-1)) }}}