Fill in the blanks:

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 _________.

Given: 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)}

To find: the domain of f.g

Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

The two given functions are

f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 1)}

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