CAT 2025 Slot 2 QA · Question 4

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

A.
$- 1, \frac{1}{2}$ , and 1
B.
$\frac{1}{2}, 1$ , and $\frac{3}{2}$
C.
$- \frac{1}{2}, \frac{1}{2}$ , and 1
D.
$\frac{1}{2}$ , and 1

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