  Let $f$ be a transcendental entire function. For $n \in \mathbb{N},$ let $
f^{n}$ denote the $n^{th}$ iterate of $f$. Let $ I(f) = \{z \in \mathbb{C} :
f^n \rightarrow \infty $ as $ n \rightarrow \infty \} $ and $ K(f) = \{z:
\textrm{ there exists } R > 0 \textrm{ such that } | f^n(z) | \leq R \textrm{
for } n \geq 0 \}. $ Then the set $ \mathbb{C}\ \setminus (I(f) \cup K(f)) $
denoted by $ BU(f) $ is called Bungee set of $f$. In this paper we give an
alternate definition for $ BU(f)$ which is very easy to work with, and we
illustrate it by proving some properties of Bungee sets of composite
transcendental entire functions and also of Bungee sets of permutable
transcendental entire functions.
