If f(x) = 1/1-x , show that f(1+ x) = -f(1- x).
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$\displaystyle f(x) = \frac{1}{1-x}$ $\displaystyle f(1+x) = \frac{1}{1 - (1+x)} = -\frac{1}{x}$ $\displaystyle f(1-x) = \frac{1}{1 - (1-x)} = \frac{1}{x}$ so ... what can you say about the relationship between f(1+x) and f(1-x) ?
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