Final answer:
To add the given fractions, find a common denominator and combine the fractions.
Step-by-step explanation:
To add the fractions (9)/(2x-8) and (4)/(3x-12), we need to find a common denominator. The common denominator in this case is (2x-8)(3x-12). Then, we can combine the fractions by multiplying the numerators and denominators by the appropriate factors to get a single fraction.
So, the sum of the fractions is ((9)(3x-12) + (4)(2x-8))/((2x-8)(3x-12)).
After simplifying the numerator, we can further simplify the fraction if possible by factoring out common factors from the numerator and denominator.