Question 11 Mark
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 _________.
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
View full question & answer→Given that: 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}
So, domain of f $\cap$ Domain of g
= {2, 3, 4, 5}
Hence, the filler is {2, 3, 4, 5}
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}
So, domain of f $\cap$ Domain of g
= {2, 3, 4, 5}
Hence, the filler is {2, 3, 4, 5}