Q36 Prep 3 Algebra Question Bank

a) Find \( n(X) \) in the simplest form, showing the domain:

\[n(X) = \frac{X^2 + X + 1}{X^4 - X} + \frac{X + 3}{3 - 2X - X^2}\]

b) If \( n(a) = -2 \), find the value of \( a \)

a) Simplified form: \( n(X) = -\frac{1}{X} \)

Domain: \( X \in \mathbb{R} - \{-3, 0, 1\} \)

b) When \( n(a) = -2 \), \( a = \frac{1}{2} \)

MR/Nasef.N