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If the mappings f and g are given by f...

If the mappings f and g are given by
f={(1,2),(3,5),(4,1) and g={(2,3),(5,1),(1,3)}, then write fog.

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If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}, g={(2, 5),(4, 7),(6, 3),(8, 1)} then find (i) gof (ii) fog. Hence show that composition of functions is not commutative.

If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

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If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}] , then find A^(3)-A^(2) .

Write fog, if f :R to R and g:R to R are given by f(x)= 8x^(3) and g(x) = x^(1//3) .

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