Values of a random variable $x(t)$

Question

Suppose that we have a function of the form $$x(t)=e^{-b(W(t))^2}$$ where $W(t)$ is a Wiener process. Since the values that the Wiener process can take belong in $ [0,T] $, i assumed that the values that x can take belong in $ [1,e^{-bT^2}]$, but is that right? Thank you in advance.