Determine the domain of each function:
a) f(x) = {x}/{3x - 1}
b) f(t) = √{t} + √[3]{t}
c) f(x) = {5x + 4}/{x² + 3x + 2}
d) g(u) = √{u} + √{4-u}
e) h(x) = {1}/{√[4]{x² - 5x}}