# What would be the laplace transform of a function of f or Lleft{f(t)right}?

What would be the laplace transform of a function of f or $L\left\{f\left(t\right)\right\}$?
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Step 1
Given:
What would be the Laplace transform of a function of f or $L\left\{f\left(t\right)\right\}$?
Step 2
Explanation:
Definition:
Let f(t) be a function of t defined for all t>0 then the Laplace transform of f(t) denoted by $L\left[f\left(t\right)\right]$ is defined by
$L\left[f\left(t\right)\right]={\int }_{0}^{\mathrm{\infty }}f\left(t\right)dt=F\left(s\right)\dots \left(1\right)$
where s is a parameter which may be real or complex
The Laplace transform of f(t) exists if the integral of (1) exists.