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NDA2022MathematicsFunctionsActual

If f(x)= (x+ 1+x^2 ) , then which one of the following is correct?

Options

  1. Af(x)+f(-x)=0
  2. Bf(x)-f(-x)=0
  3. C2 f(x)=2 f(-x)
  4. Df(x)=2 f(-x)

Correct answer

A. f(x)+f(-x)=0

Step-by-step solution

f(x)= (x+ 1+x^2 ) ...(i) f(-x)= (-x+ 1+x^2 ) ...(ii) Adding equations (i) and (ii) aligned & f(x)+f(-x)= ( 1+x^2 +x )+ ( 1+x^2 -x ) & = 1=0 aligned

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