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Thus, for f(x) = x / (x² - 9), f^(-1)(x) = { x if x ≠ 0, if x = 0 }.

User Yosher
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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 }

User Fjsj
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