00:01
Hello everyone, in this problem we are given with the function f is from, f is a mapping from z4 to z8 which is given by f of x to be equal to 2x.
00:13
Now for each x in z4, we need to find whether the given function is injective, surjective and bijective.
00:20
So, now let us consider for injective, let us prove for injective.
00:26
So, now let us consider here as f of x1 which is equal to f of x2.
00:35
So, now applying the value of x1 in the place of x in the given function.
00:41
So, we have 2x1 to be equal to similarly for x2 it will be 2x2.
00:46
So, from this we have the value of x1 to be equal to x2.
00:53
So, which implies which means that the given function is injective...