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AP EAMCET202318 May 2023Evening ShiftMathematicsFunctionsActual

If f : R 0 R is defined by f ( x )= x + 1 x , then the value of ( f ( x ))^2=

Options

  1. Af ( x )+ f (0)
  2. Bf (x^2 )+f(2)
  3. Cf (x^3 )+f(0)
  4. Df (x^2 )+f(1)

Correct answer

D. f (x^2 )+f(1)

Step-by-step solution

aligned & Given : f ( x )= x + 1 x & array l ( f ( x ))^2= x ^2+ 1 x ^2 +2 x 1 x ( f ( x ))^2= x ^2+ 1 x ^2 +2 ( f ( x ))^2= f ( x ^2 )+ f (1) [ f (1)=2] array aligned

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