1. The problem gives fg(x) = ax + b and asks to find values of a and b. 2. However, there are no further equations or data relating to f(x) or g(x) to determine a and b. 3. Without additional information or equations, a and b cannot be uniquely determined. 4. Next, simplify the expression \(\frac{2}{f(x)} - \frac{5}{g(x)}\) as a single fraction in terms of x. 5. Using a common denominator, the single fraction is: $$\frac{2g(x) - 5f(x)}{f(x)g(x)}$$ 6. Since f(x) and g(x) are unspecified, this is the simplest form. Final answers: - Values of a and b: Cannot be determined without more information. - Simplified expression: $$\frac{2g(x) - 5f(x)}{f(x)g(x)}$$