Q27 Prep 3 Algebra Question Bank

a) The set of zeroes of the function \( f : f(X) = \frac{X^2 - X - 2}{X^2 + 4} \) is ......

a) \(\{-2, 2\}\)

b) \(\{-2, -1\}\)

c) \(\{-1, 2\}\)

d) \(\{-1, 1\}\)

MR/Nasef.N

b) The set of zeroes of the function \( f : f(X) = \frac{X^2 - 9}{X - 2} \) is ......

a) \(\{2\}\)

b) \(\mathbb{R} - \{2\}\)

c) \(\{3, -3\}\)

d) \(\{3, -3, 2\}\)

MR/Nasef.N

c) The common domain of the two fractions \(\frac{2X}{X - 3}\) and \(\frac{X}{X + 5}\) is ......

a) \(\{3, -5\}\)

b) \(\mathbb{R} - \{0, 3, -5\}\)

c) \(\mathbb{R} - \{3, -5\}\)

d) \(\mathbb{R}\)

MR/Nasef.N

d) The common domain of the two fractions \(\frac{2}{X^2 - 1}, \frac{5X}{X^2 - X}\) is ......

a) \(\mathbb{R} - \{1\}\)

b) \(\mathbb{R} - \{0, 1\}\)

c) \(\mathbb{R} - \{0, 1, -1\}\)

d) \(\mathbb{R} - \{1, -1\}\)

MR/Nasef.N

e) If \( n(X) = \frac{7}{X + a} \) and the domain of the function is \(\mathbb{R} - \{-2\}\), then \( a = \) ......

a) -2

b) 2

c) ±2

d) -\(\frac{7}{2}\)

MR/Nasef.N

a) The set of zeroes is \(\{-1, 2\}\) (Correct: c)

b) The set of zeroes is \(\{3, -3\}\) (Correct: c)

c) The common domain is \(\mathbb{R} - \{3, -5\}\) (Correct: c)

d) The common domain is \(\mathbb{R} - \{0, 1, -1\}\) (Correct: c)

e) The value of \(a\) is \(2\) (Correct: b)