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Let $f(A,B) = A'+B$. Simplified expression for function $f(f(x+y, y), z)$ is

  1. $x' + z$
  2. $xyz$
  3. $xy' + z$
  4. None of the above
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C is a correct option
1

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Best answer
$f(f(x+y, y), z) = f((x+y)' +y), z)$

$=((x+y)' + y)' + z$

$= (x+y).y' + z (\because (a+b)' = a'.b')$

$= xy' + z$

Correct Answer: $C$
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