Question

Let f and g be two real functions given by
f = {(0, 1), (2, 0), (3, -4), (4, 2), (5, 1)} and
g = {(1, 0), (2, 2), (3, -1), (4, 4), (5, 3)}.
Find the domain of fg.

Answer 1

f = {(0, 1), (2, 0), (3, -4), (4, 2), (5, 1)}
and g = {(1, 0), (2, 2), (3, -1), (4, 4), (5, 3)}
$\therefore$ Domain of f = {0, 2, 3, 4, 5}
and Domain of g = {1, 2, 3, 4, 5}
$\therefore$ Domain of (f, g) = Domain of $f\cap$
Domain of g = {2, 3, 4, 5}