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 \(f(x) > A\text{,}\) find \(A\text{.}\)

The value of \(A\) is

Is the domain of the function \(f(x)\) still \((-\infty,\infty)\text{?}\)

Your answer is (input Yes or No)