Final answer:
The inverse function of f(x) = x / (x² - 9) is defined as f^(-1)(x) = { x if x ≠ 0, if x = 0 }.
Step-by-step explanation:
The subject of this question is mathematics and the grade level is high school. The question is asking about the inverse function of f(x) = x / (x² - 9). The inverse function, denoted as f^(-1)(x), is the function that undoes the original function. In this case, the inverse function is defined as follows:
f^(-1)(x) = { x if x ≠ 0, if x = 0 }