the domain of f(x)=e^x - 2 is . (type your answer in interval notation.)

Explanation:

Step1: Recall domain - exponential function

The exponential function $y = e^{u}$ is defined for all real - valued $u$. In the function $f(x)=e^{x - 2}$, $u=x - 2$.

Step2: Determine the domain of $x$

Since $x-2$ can be any real number, $x$ can be any real number. In interval notation, the set of all real numbers is $(-\infty,\infty)$.

Answer:

$(-\infty,\infty)$