to calculate the(adsbygoogle = window.adsbygoogle || []).push({}); inverselaplace transform of a function F(s), s+2 was replaced with z for convenience. the inverse laplace transform of z was found--let's denote the function g(t).

now, how do i prove that L^{-1}{F(s)} = L^{-1}{F(z-2)} = g(t) * e^{-2t}

i am attempting to prove by rewriting L^{-1}{F(z-2)} in terms of L^{-1}{F(z)*something} but i don't know what exactly to do.

this is not a homework question, just attempt at a proof.

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# Laplace transform

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