imo class 12 relations and functions

If f : [1, ∞) → [1, ∞) is defined by f(x) = x², then f⁻¹(x) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If f : [1, ∞) → [1, ∞) is defined by f(x) = x², then f⁻¹(x) is:

  • A. 1/x²
  • B. √x
  • C. −√x
  • D.

Answer: B) √x

Explanation: f is bijective on the given domain and codomain. y = x² gives x = √y (since x ≥ 1). Thus f⁻¹(x) = √x.

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