Let `f={(1,a),(2,c),(4,d),(3,b)} and g^(-1) = {(2,a),(4,b),(1,c),(3,d)}` then show that `(gof)^(-1) = f^(-1) og^(-1)`.

Let A={1,2,3},B={a,b,c),C={p,q,r}. If f:A to B, g: B to C are defined by f={(1,a),(2,c),(3,b)},g={a,q),(b,r),(c,p)} then show that f^(-1)og^(-1)=(gof)^(-1) .

If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c,p)} , then (gof)^(-1)=

Let X = { 1,2,3,4}, Y = {a,b,c,d} and f={(1,a), (4,b), (2,c),(3,d),(2,d)}. Then f is

Let f={(1,2),(3,4),(2,2)} and g={(2,1),(,3,1),(4,2)} . Find gof and fog.

Let A ={1,2,3,4}. Let f : A to A " and " g : A to A defined by f : ={(1,4),(2,1),(3,3),(4,2)} and g = {(1,3),(2,1),(3,2),(4,4)} Find (i) g o f (ii) f o g (iii) f o f .

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.

If f={(a, 0), (b, 2), (c, -3)}, g={(a, -1), (b, 1), (c, 2)} then 2f-3g=