Given the transform pair ƒ1 (t) → ƒ1(ω)

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Given the transform pair ƒ₁ (t) → ƒ₁(ω) ƒ₁(t)e^jω0t → ƒ₁ (ω - ω_o).
Given ƒ₁ (ω) = 2
1 + ω²

The Fourier transform of ƒ₁(t) e^–jat is

1. 2
  1 + a²
2. 2
  1 - a²
3. 2
  1 + (ω + a)²
4. 2
  1 + (ω - a)²

Correct Option: C

NA