Step 1: Role of water in the Krebs cycle. Water molecules are involved at two specific points in the Krebs cycle: 1. Fumarate is hydrated to malate by the enzyme fumarase, consuming one water molecule. 2. Citrate is formed from oxaloacetate and acetyl-CoA, requiring water for the reaction catalyzed by citrate synthase. Although water is consumed in the cycle, two water molecules are released as byproducts during different enzymatic reactions.
Step 2: Confirm the count of water molecules released. During the step where succinyl-CoA is converted to succinate, a water molecule is indirectly associated, contributing to the net release of water in the cycle.
Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to