Final answer:
The value of m(x) - n(x) over the domain x > 2 is 6.
Step-by-step explanation:
The given question involves the functions m(x) = x^2 + 3 and n(x) = x^2 - 3, with the specified domain x > 2. We need to find the value of m(x) - n(x) over this domain.
To do this, we substitute the expressions for m(x) and n(x) into the equation m(x) - n(x) and simplify:
m(x) - n(x) = (x^2 + 3) - (x^2 -3) = 6
So, the value of m(x) - n(x) over the domain x > 2 is 6.