- #1

- 36

- 0

**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.