Find the fourier transform of the function f(t) = e-a|t|, a>0.

• A. \(\frac{2a}{a^2-ω^2}\)
• B. \(\frac{2a}{a^2+ω^2}\)
• C. \(\frac{2a}{ω^2-a^2}\)
• D. \(\frac{a}{a^2+ω^2}\)