The graph of the function $f(x)=e^{-x}-4$ can be obtained from the graph of $g(x)=e^x$ by two of the following actions:
(a) reflecting the graph of $g(x)$ in the $y$-axis;
(b) reflecting the graph of $g(x)$ in the $x$-axis;
(c) shifting the graph of $g(x)$ to the right 4 units;
(d) shifting the graph of $g(x)$ to the left 4 units;
(e) shifting the graph of $g(x)$ upward 4 units;
(f) shifting the graph of $g(x)$ downward 4 units;
Your answer: Apply the action (input a, b, c, d, e, or f) then apply the action
(Please give your answer in the order the changes are applied, e.g. a first, then b second.)
The range of the function $f(x)$ is $f(x) > A$, find $A$.
The value of $A$ is
Is the domain of the function $f(x)$ still $(-\infty,\infty)$?
Your answer is (input Yes or No)