Let A = {x, y, z), B = {u, v, w} and f : A `rarr` B be defined by f(x) = u,
f(y) = v, f(z) = w. Then, f is

Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(z)=w . Then, f is

Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(z)=w . Then, f is

Let A={x,y,z,t} and the function f:A rarr A, g: A rarr A be defined by, f(x)=z, f(y)=t,f(z)=y, f(t)=x and g(x)=y,g(y)=t,g(z)=x,g(t)=z Find (gof) (t),(fog) (x),(f o g ) (y) and (g o f) (z) .

Let A={1, 2, 3, 4, 5, 6}, B=W and f:A to is defined by f(x)=x^(2)-1 find the range of f.

Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +1 if x is even then show that f is invertible. Find the inverse of f where W is the set of all whole numbers.

Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions from A to B and from B to A respectively defined as: f={(a ,\ v), (b ,\ u),\ (c ,\ w)} , g={(u ,\ b),\ (v ,\ a),\ (w ,\ c)}dot Show that f and g both are bijections and find fog and gofdot

Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and let f and g be two functions from A to B and from B to A respectively defined as: f={(a ,\ v), (b ,\ u),\ (c ,\ w)} , g={(u ,\ b),\ (v ,\ a),\ (w ,\ c)}dot Show that f and g both are bijections and find fog and gofdot

Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + y) for all x , y in R . If f(x), f(y), f(z) are in G.P. then x , y , z are in

Let A={u,v,w,x} . A bijective function f:A rarr A is chosen at random, then the probability that f(u)!=u,f(v)!=v,f(w)!=w and f(x)!=x is