Determine the Maximum Value of F(x, Y) = 4 - $x ^ { 2 }$

Short Answer

Determine the maximum value of f(x, y) = 4 - $x ^ { 2 }$ - $y ^ { 2 }$ subject to the constraint $y = 3 x - 4$ .
Enter your answer as exactly just a, b where a is the maximum and b is the Lagrange multiplier as either integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ (no words or labels).