(b) Simplify (3-x)/(3x^(2)-5x-12) .

1. The given expression is \((3-x)/(3x^2-5x-12)\).2. To simplify the expression, we need to factorize the numerator and the denominator.3. The numerator is already in its simplest form, which is .4. For the denominator, , we need to factorize it. The factorized form of the denominator is \((3x + 4)(x - 3)\).5. Now, dividing the numerator by each term in the denominator, we get: - \(3/(3x + 4) - x/(3x + 4)\) - \(3/(x - 3) - x/(x - 3)\)6. Combining the terms, we get the simplified expression as \(-1/(3x + 4)\).