Q32 Prep 3 Algebra Question Bank

a) Show whether \( n_1 = n_2 \) or not (give reason):

\[ n_1(X) = \frac{X + 5}{X^2 - 25} \]

\[ n_2(X) = \frac{3}{3X - 15} \]

MR/Nasef.N

The functions are not equal. \( n_1 \) simplifies to \( \frac{1}{X - 5} \) with domain \( X \neq \pm5 \), while \( n_2 \) simplifies to \( \frac{1}{X - 5} \) with domain \( X \neq 5 \). They differ at \( X = -5 \).