frequency-shifting

For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by

The Laplace Transform of e at .cos$$\left( {\alpha t} \right).u\left( t \right)$$ is equal to

The laplace transform of $${e^{\alpha t}}\,\cos \,\alpha \,t$$ is equal to ____________.