Question

if f(x)=x-1/x+1,x not equal 1 show that f(f(x)= -1/x, provided x not equal 0
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

f(x)=x-1/x+1

f(f(x))=f(x-1/x+1)

       =$\frac{\frac{x-1}{x+1} -1}{\frac{x-1}{x+1} +1} \\=\frac{x-1-x-1}{x-1+x-1}\\=\frac{-2}{2x} \\=\frac{-1}{x}$