Question 8.

Let f(x)=x(2x1)f(x)=\frac{x}{(2x-1)} and g(x)=x(x1)g(x)=\frac{x}{(x-1)}. Then, the domain of the function h(x)=f(g(x))+g(f(x))h(x)=f(g(x))+g(f(x)) is all real numbers except

A
12\frac{1}{2}, 1, and 32\frac{3}{2}
B
-12\frac{1}{2}, 12\frac{1}{2}, and 1
C
-1, 12\frac{1}{2} and 1
D
12\frac{1}{2} and 1

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