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Question

If f(x)=1x, g(x)=1x2 and h(x)=x2, then which of the following is always true?
  1. h(g(x))=1x2  x0, fog(x)=x2
  2. fog(x)=x2  x0, h(g(x))=(g(x))2  x0
  3. None of these
  4. fog(x)=x2  x0, h(g(x))=1x2


Solution

The correct option is B fog(x)=x2  x0, h(g(x))=(g(x))2  x0
f(x)=1x, g(x)=1x2 and h(x)=x2
f(g(x))=x2,  x0
h(g(x))=1x4=g((x))2,  x0

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