QuestionStep 4 (b) $g(t) = \sin(e^t - 3)$ To find the domain of $g(t) = \sin(e^t - 3)$, we examine the domains of the exponential and sine functions. Remembering that $e^x$ exists for all values of $x$, the domain $s = e^t - 3$ is what? (Enter your answer using interval notation.) $(-\infty, \infty)$ Step 5 Next, we examine the sine. Since $\sin(x)$ exists for all values of $x$, then the domain of $y = \sin(s)$ is what? (Enter your answer using interval notation.)