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4. let a- (0,1,2,3,4) and f: a and f(f(n)) a where f(n) 2n mod 5. construct a table with values for n, f(n)

The required table is shown below.

Step-by-step explanation:

The given set is

It is given that

where, .

We need to construct a table with values for n, f(n) and f(f(n)).

The elements of set are 0,1,2,3 and 4 so these are the values of n.

At n=0,

At n=1,

At n=2,

At n=3,

At n=4,

Therefore the required table is

n              f(n)               f(f(n))

0               0                 0

1                2                 4

2               4                 3

3                1                 2

4               3                 1