Let f : R → R be defined as f(x) = x². The pre-image of {4, 9} under f is:
Let f : R → R be defined as f(x) = x². The pre-image of {4, 9} under f is:
- A. {2, 3}
- B. {−2, 2, −3, 3}
- C. {2, −2, 3, −3, 0}
- D. {−2, −3}
Answer: B) {−2, 2, −3, 3}
Explanation: f⁻¹({4, 9}) = {x : f(x) ∈ {4, 9}} = {x : x² = 4 or x² = 9} = {−2, 2, −3, 3}.
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