If `A = {1, 2, 3}, B = {1,4,9}, f : A rarr B, f(x) = x^2` then verify `f^(-1) of = I_A and fof^(-1) = I_B.`

If A = {5,6,7}, B = { 1,2,3,4,5} and f : A rarr B is defined by f(x) = x -2, then the range of f is ......... .

Let A = (a,b,c) and B = (p,q,r) and a function f : A rarrB be given by f = ((a,q), b,r), (c,p)) Is f invertible ? If so, find f^-1 and verify that f^-1 of = I_A and f of^-1 = I_B where I_A and I_B are identity fucnctions on A and B respectively.

Let A={1,2,3,4}, B={2,4,6,8} . If f : A rarr B is defined by f(x)=2x , show that (f^-1)^-1=f

Let A = {-1,0,1,2,} B= {1,1,2,3,-3} and f: A rarr B be the mapping defined by , f(x)=2x-1 , for all x in A .Then f will be ___

Let A={-2,2,-3,3},B={1,4,9,16} and f: A rarr B be given by f(x) =x^(2) , show that f is a many -one mapping.

Let A= {-1,-2,0,1(5)/(2), 3}, B={-6,-5,0,1,4,9} and f: A rarr B be defined by f(x)=2x^(2) -3x-5 . Find f(A). Is f(A)=B ?

If A={3, 0, 1, 2} and f:A rarr B is an onto function defined by f(x)=3x-5, then B=