Evaluate the composition (f∘g)(x)(f \circ g)(x)(f∘g)(x) for f(x)=1xf(x) = \frac{1}{x}f(x)=x1 and g(x)=xx−1g(x) = \frac{x}{x-1}g(x)=x−1x.
x−1x\frac{x-1}{x}xx−1
xx−1\frac{x}{x-1}x−1x
x−1x-1x−1
1−x1-x1−x