Final answer:
1. Evaluate g(1,-2) by substituting the given values into the function. 2. The range of g(x,y) is [-1, 1].
Step-by-step explanation:
1. To evaluate g(1,-2), substitute the given values into the function: g(x,y) = cos(6x 2y). So, g(1, -2) = cos(6(1) + 2(-2)).
Simplifying further, g(1, -2) = cos(6 - 4) = cos(2).
2. The range of g(x,y) refers to the set of all possible values that g can take on. For the function g(x,y) = cos(6x 2y), the range is [-1, 1] since the cosine function can only output values between -1 and 1 inclusively.