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AP EAMCET202120 Aug 2021Morning ShiftMathematicsFunctionsActual

f ( x ) = sin x + cos x , g ( x ) = x 2 - 1 then g ( f ( x ) ) is invertible if

Options

  1. A- π 4 ≤ x ≤ π 4
  2. B- π 2 ≤ x ≤ 0
  3. C- π 2 ≤ x ≤ π
  4. D0 ≤ x ≤ π 2

Correct answer

A. - π 4 ≤ x ≤ π 4

Step-by-step solution

f ( x ) = sin   x + cos   x   ,   g ( x ) = x 2   − 1                                                                                                       g [ f ( x ) ] = g ( sin   x + cos   x ) = ( sin   x + cos &#160

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