Step 1: Understanding symbiosis and its examples.
Symbiosis refers to a close and long-term biological interaction between two different biological organisms, which can be mutualistic, commensalistic, or parasitic. The question asks for an example where the relationship is not a typical case of symbiosis.
- Option (A): Orchid and the tree on which it grows represent commensalism. Orchids grow on trees to access sunlight but do not harm the tree.
- Option (B): Cattle egret and grazing cattle represent mutualism, as cattle stir up insects for the egret to feed on.
- Option (C): Sea anemone and clownfish is mutualistic. Clownfish get protection from predators, and anemones get nutrients from the waste of the clownfish.
- Option (D): Female wasp and fig species is not a general symbiosis example but represents a specialized mutualistic relationship for reproduction (pollination).
Step 2: Conclusion.
While all options describe ecological interactions, (D) is a highly specific reproductive mutualism case, not a common example of general symbiosis. Hence, it is the correct answer.
Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to