Question: Problem 8. (11 POINTS) FOURIER TRANSFORM OR LAPLACE TRANSFORM IS NOT DEFINED FOR SOME FUNCTIONS. WHICH FUNCTION HAS BOTH FOURIER TRANSFORM AND LAPLACE TRANSFORM? (HINT:

Problem 8. (11 POINTS) FOURIER TRANSFORM OR LAPLACE TRANSFORM IS NOT

DEFINED FOR SOME FUNCTIONS. WHICH FUNCTION HAS BOTH FOURIER TRANSFORM AND LAPLACE

Problem 8. (11 POINTS) FOURIER TRANSFORM OR LAPLACE TRANSFORM IS NOT DEFINED FOR SOME FUNCTIONS. WHICH FUNCTION HAS BOTH FOURIER TRANSFORM AND LAPLACE TRANSFORM? (HINT: WHEN YOU COMPUTE FOURIER TRANSFORM, T E (-00, OO) IS A SPACE VARIABLE, AND WHEN YOU COMPUTE LAPLACE TRANSFORM, T E 0, CO) IS A TIME VARIABLE) (A) f(x) = ex (B) f(x) = sin(x) (C) f(x) = e-121 (D) f(x) = 2-1 (E) f(x) = log(I)

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