Given the functions:
f(x) = px + 2
g(x) = 4x - 3
It's required to find the values of p for which
(f.g)(x) = (g.f)(x)
The multiplication of functions is a commutative operation which means f.g is always equal to g.f regardless of the value of p.
The condition stated in the question requires to solve the equation:
(px + 2)(4x - 3) = (px + 2)(4x - 3)
This equation is always true, no matter what value of p we use.
Answer: p can have any value, the condition will always be met.