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AP EAMCET20228 Jul 2022Morning ShiftMathematicsFunctionsActual

Let f ( x )= x+1 x+3 and g ( x )= 2-x x+3 be two real valued functions. Then the domain of f / g is

Options

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

Correct answer

B. [-1,2)

Step-by-step solution

f(x)= x+1 x-3 and g(x)= 2-x x+3 Domain for f / g x+1 x+3 0 +-+ - -3-1 x (- ^ ,-3 ) [-1, ^ ) ........(i) 2-x x+3 > x-2 x+3 < 0 +-+ - -3-2 x (-3,2) ........(ii) from (i) and (ii) x [-1,2)

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