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Let f= {(1,3),(2,4),(3,7)} and g ={(3,2)...

Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)}
Determine gof and fog if possible . Test whether fog =gof.

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Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determine gof and fog if possible. Test whether fog=gof.

Let A={1,2,3}, B={4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function from A to B. State whether f is one-one or not.

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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.

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If f(x)=sqrtx and g(x)=1-x^2 , then find gof and fog. If h(x)=1-x , then whether gof=h?

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