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a=(1,2,3,4) b=(5,6,7,8) c=(9,10,11,12) and the mappings f: a:b and g: b:c

determine the elements of
i)b under g
ii)a under f
iii)a under gof i.e followed by by g

and f

i) b under g = (6,7,8,9)
ii) a under f = (5,6,7,8)
iii) a under gof = (10,11,12,13)

Did you know?

Did you know that in the given text, the mappings f and g play a crucial role in determining the elements of different sets? i) When we apply the mapping g to set b, it yields (9,10,11,12) as the resulting elements, providing us with new values based on the relationship between b and c. ii) Similarly, the mapping f applied to set a results in (5,6,7,8), revealing the transformed elements based on the association between a and b. iii) Lastly, when we apply the composition of mappings gof (a followed by g), the original set a is transformed into (9,10,11,12), showcasing the sequence of transformations and connections between a, b, and c. These mappings and transformations allow us to gain insights into how sets relate to each other and how they can be manipulated using mathematical operations.