Final answer:
None of the options provided (A, B, C, or D) is the correct inverse of the quadratic equation y = 2x² - 8. The inverse function requires exchanging x and y and solving for y, which is not reflected in any of the offered answers.
Step-by-step explanation:
The question refers to finding the inverse of the given quadratic function, y = 2x² - 8. None of the provided options (A, B, C, or D) represent the inverse of this quadratic equation. To find the inverse function, you would exchange x and y in the original equation and solve for y. This involves taking the square root of both sides after isolating the quadratic term, leading to two possible inverse functions due to the ± from the square root, not represented in the options given. For example, if one were to find the inverse it would potentially look like x = 2y² - 8, which then after rearranging would become y = ±2√((x+8)/2). However, note that this last expression is not explicitly listed among the options provided.