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Let the functions f:R→R and be defined as f(x)=x^2. Then f^−1(−9) = will be?
  1. Ø
  2. -3
  3. 3
  4. None of these
Explanation

Since f(x) = x^2 is always non-negative, there is no real x such that f(x) = -9.

So, the inverse image of -9 is the empty set:

f^(-1)(-9) = Ø

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