Question

If the mapping f and g are given by 

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

g = {(2, 3), {5, 1), (1, 3)}

then gof is

1. {(2, 5), (5, 2), (1, 5)}
2. {(1, 2), (3, 5), (4, 1)}
3. {(1, 3), (3, 1), (4, 3)}
4. {(2, 3), (5, 1), (1, 3)}

Answer 1

Correct Answer - Option 3 : {(1, 3), (3, 1), (4, 3)}

Formula used:

If g and f are given then-

gof = g{f(x)}

Calculation:

Given: 

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

g = {(2, 3), (5, 1), (1, 3)}

Then gof = g{f(x)} = {(1, 3)(3, 1), (4, 3)}