Consider f(x) = e^(2x) - 3. Determine the domain and the range of f(x). Please show the procedure.

well, some of this you just have to know. There is no restrictionson what e can be raised to, so the domain is all real numbers.

when negative numbers are put in for exponents, the value always approches zero. So the range can't get lower than -3
so -3 < f(x) < ∞
& -∞ < x < ∞