CUET · MATHS · PYQ PAPER 2023
If \(f:[3, \infty) \rightarrow A\) defined by \(f(x)=x^2\) is an onto function, then \(A\) is:
- A \(R\)
- B \([5, \infty)\)
- C \([6, \infty)\)
- D \([9, \infty)\)
Answer & Solution
Correct Answer
(D) \([9, \infty)\)
Step-by-step Solution
Detailed explanation
\(x \in [3, \infty)\) \(f(x) = x^2\) \(f(3) = 3^2 = 9\) As \(x \rightarrow \infty\), \(f(x) \rightarrow \infty\) \(A = [9, \infty)\)
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