+118653 What is x+1/x-1 + 2x-1/2x+1 when x= -2?
\(x+\frac{1}{x}-1 + 2x-\frac{1}{2}x+1\qquad \qquad when\quad x= -2?\\ =-2+\frac{1}{-2}-1 + 2*-2-\frac{1}{2}*-2+1\\ =-2-\frac{1}{2}-1 -4+1+1\\ =-2-1 -4+1+1-\frac{1}{2}\\ =-2 -4+1-\frac{1}{2}\\ =-5-\frac{1}{2}\\ =-5\frac{1}{2}\\ \)
+33653 Or perhaps this was meant to be \(\frac{x+1}{x-1}+\frac{2x-1}{2x+1}\)
in which case we have \(\frac{-1}{-3}+\frac{-5}{-3}\rightarrow \frac{1}{3}+\frac{5}{3}\rightarrow \frac{6}{3}\rightarrow 2\)
If so, note that it's important to use brackets to remove possible ambiguity!
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