If f(x)= ( frac{x+3}{x^2-5x+6} ) and g(x)= ( frac{x-3}{x^2-6x+8} ), then which of the following is correct?

• A. f(x) is continuous at x=2 and g(x) is continuous at x=2
• B. f(x) is discontinuous at x=3 and g(x) is discontinuous at x=2
• C. f(x) is continuous at x=4 and g(x) is discontinuous at x=4
• D. f(x) is discontinuous at x=3 and g(x) is continuous at x=2