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Given that f(x)=e^-1x and g(x)=3e^-4x where both functions are zero for x <0. Use the table of Fourier transforms to a) Find Fourier Transform of

Given that f(x)=e^-1x and g(x)=3e^-4x where both functions are zero for x<0. Use the table of Fourier transforms to a) Find Fourier Transform of f(x)+g(x) and b) Find the Fourier transform of the convolution of f(x) and g(x).

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