If \(g(x) = 1 - x\) and \(h(x) = \frac{x}{x-1}\) , then…

GATE · 2015 · CS · Set 1 · Computer Science & IT

If g(x)=1−xg(x) = 1 - x and h(x)=xx−1h(x) = \frac{x}{x-1} , then g(h(x))h(g(x))\frac{g(h(x))}{h(g(x))} is:

  1. A.

    h(x)g(x)\frac{h(x)}{g(x)}

  2. B.

    −1x\frac{-1}{x}

  3. C.

    g(x)h(x)\frac{g(x)}{h(x)}

  4. D.

    x(1−x)2\frac{x}{(1-x)^{2}}

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