Find the composition, ro s, where s = {(1, a), (4, ,6), (2, c), (3,c), (3, d)} with r = {(a, x), (a, y), (6, x), (c, z), (d, 2)} as a set of ordered pairs.

Step-by-step explanation:

Given set of ordered pairs are

S = {(1, a), (4, a),(5,6), (2, c), (3,c), (3, d)}

R = {(a,x), (a, y), (6, x), (c, z), (d, 2)}

We need to find the composition .

If f(x) and g(x) are two functions, then

Elements         S                          

     1                  a                   x

     1                  a                   y

    4                  a                   x

    4                  a                   y

    5                  6                   x

    2                  c                   z

    3                  c                   z

    3                  d                   2

The composition is defined as

Therefore .

b

step-by-step explanation: