1. **State the problem:** We are given the function $$g(a) = \frac{5a + 3}{2a}$$ and need to find the expression for $$g(a) - g(2a)$$. 2. **Write the expressions:** $$g(a) = \frac{5a + 3}{2a}$$ $$g(2a) = \frac{5(2a) + 3}{2(2a)} = \frac{10a + 3}{4a}$$ 3. **Find the difference:** $$g(a) - g(2a) = \frac{5a + 3}{2a} - \frac{10a + 3}{4a}$$ 4. **Find a common denominator:** The denominators are $$2a$$ and $$4a$$. The least common denominator is $$4a$$. Rewrite the first fraction: $$\frac{5a + 3}{2a} = \frac{2(5a + 3)}{4a} = \frac{10a + 6}{4a}$$ 5. **Subtract the fractions:** $$\frac{10a + 6}{4a} - \frac{10a + 3}{4a} = \frac{(10a + 6) - (10a + 3)}{4a} = \frac{10a + 6 - 10a - 3}{4a} = \frac{3}{4a}$$ 6. **Final answer:** $$g(a) - g(2a) = \frac{3}{4a}$$ This matches option b. **Explanation:** We carefully substituted $$2a$$ into the function, found a common denominator, and simplified the difference step-by-step to get the final simplified expression.