Final answer:
To find the difference, subtract the given expression from another expression by finding a common denominator and simplifying the fractions.
Step-by-step explanation:
To find the difference, we need to subtract the expression 2g^2 - g - 6 - 1/(g-2) from 1/g-3.
We can simplify the expression 1/g-3 by finding a common denominator for the fraction, which is (g-3). So, the numerator becomes 1 and the denominator becomes g-3.
Subtracting the two expressions, we get the difference as 2g/(g^2 - 2g - 3).