Question

Let f and g be two real functions given by  

f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 1)} g = {(1, 0), (2, 2), (3, – 1), (4, 4), (5, 3)} then the domain of f . g is given by _________.

Answer 1

We have, f = {(0, 1), (2, 0), (3, -4), (4, 2), (5,1)} and g= {(1, 0), (2, 2), (3, 1), (4,4), (5, 3)}

Domain of f = {0,2, 3, 4, 5}

And Domain of g = {1, 2, 3,4, 5}

Domain of (f x g) = (Domain of f) ∩ (Domain of g) = {2, 3,4, 5}