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AP EAMCET20227 Jul 2022Morning ShiftMathematicsFunctionsActual

The domain of the real valued function f(x)= _ 0.5 (x-3) x-1 is

Options

  1. A(3,4]
  2. B[4, )
  3. C(1, )
  4. D(1,3)

Correct answer

A. (3,4]

Step-by-step solution

Given, f(x)= _ 0.5 (x-3) x-1 _ 0.5 (x-3) 0 x-3 (0.5)^0 x 4 ...(A) x-3>0x>3 ...(B) x-1>0x>1 ...(C) A B C 3 < x 4 i.e. x (3,4]

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