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## Homework Statement

a function 'd' is a closed binary operation on a set called 'T'.

There is an identity element named j.

for all elements a, b, and c in the set 'T', we have d(a, d(b,c)) = d((a,c), b)

can anyone help me show that d is commutative and associative?

## Homework Equations

f is commutative if function f(s,u) = f(u,s)

f is associative if function f(x, f(y,z)) = f((x,y), z)

q is an identity element if function f(q,a) = a and f(a,q) = a.

## The Attempt at a Solution

The attempt began with proving commutative, but ended shortly after because there are three elements in the problem and as far as i know commutative only uses 2.