Q43 Prep 3 Algebra Question Bank

a) If \( n(X) = \frac{X^2 - 2X}{(X-2)(X^2 + 2)} \)

1. Find \( n^{-1}(X) \) and identify the domain.

2. If \( n^{-1}(X) = 3 \), what is the value of \( X \)?

1. \( n^{-1}(X) = \frac{X^2+2}{X} \), Domain: \( \mathbb{R} - \{0,2\} \)

2. \( X = 1 \)

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