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GATE 2018 EE – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

The three roots of the equation $f(x)=0$ are $x=\{-2,0,3\}$. What are the three values of $x$ for which $f(x-3)=0$?

  1. $-5,-3,0$
  2. $-2,0,3$
  3. $0,6,8$
  4. $1,3,6$

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Correct answer: (D) $1,3,6$

Explanation

$f(x-3)=0$ needs $x-3\in\{-2,0,3\}$, so $x\in\{1,3,6\}$.