Step 1: Overview of the Krebs cycle. The Krebs cycle, also known as the citric acid cycle, is a crucial metabolic pathway in cellular respiration. It takes place in the mitochondrial matrix and is responsible for oxidizing acetyl-CoA to carbon dioxide while reducing NAD\(^+\) and FAD to NADH and FADH\(_2\), which are used in the electron transport chain to generate ATP.
Step 2: Oxidation events in the Krebs cycle. Oxidation occurs in the following steps of the Krebs cycle: 1. Isocitrate is oxidized to \(\alpha\)-ketoglutarate, reducing NAD\(^+\) to NADH. 2. \(\alpha\)-ketoglutarate is oxidized to succinyl-CoA, reducing NAD\(^+\) to NADH. 3. Succinate is oxidized to fumarate, reducing FAD to FADH\(_2\). 4. Malate is oxidized to oxaloacetate, reducing NAD\(^+\) to NADH. Hence, oxidation occurs four times in the Krebs cycle.
Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to