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## Main Question or Discussion Point

to calculate the

now, how do i prove that L

i am attempting to prove by rewriting L

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

**inverse**laplace 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.