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AP EAMCET202021 Sep 2020Evening ShiftMathematicsFunctionsActual

If ((f(x))^2=f (x^2 )+f(1) ) holds good, then find (f(x) )

Options

  1. A(x+ 1 x )
  2. B(x- 1 x )
  3. C(x^2+ 1 x )
  4. D(x- 1 x^2 )

Correct answer

A. (x+ 1 x )

Step-by-step solution

Given functional relation ((f(x))^2=f (x^2 )+f( l ) ) On putting (f(x)=x+ 1 x ), the RHS is (x^2+ 1 x^2 +2= (x+ 1 x )^2=(f(x))^2= LHS. ) Hence, option (a) is correct.

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