Q44 Prep 3 Algebra Question Bank

a) If \( n(X) = \frac{X^2 - 49}{X^3 - 8} \div \frac{X + 7}{X - 2} \), then find:

1. \( n(X) \) in the simplest form

2. Its domain

3. The value of \( n(1) \)

1. \( n(X) = \frac{X - 7}{X^2 + 2X + 4} \)

2. Domain: \( \mathbb{R} - \{ 2, -7 \} \)

3. \( n(1) = -\frac{6}{7} \)

MR/Nasef.N