Q25 Prep 3 Algebra Question Bank

a) The domain of the function \( f : f(X) = \frac{X+1}{2X+4} \) is ......

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

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

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

d) \(\{-4\}\)

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b) The domain of the function \( n : n(X) = \frac{X-1}{X} \) is ......

a) \(\{0\}\)

b) \(\{1\}\)

c) \(\{0\}\)

d) \(\{1\}\)

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c) The domain of the function \( f : f(X) = X^2 - 1 \) is ......

a) \(\{1\}\)

b) \(\{1\}\)

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

d) \(\mathbb{R}\) (all real numbers)

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d) The domain of the algebraic fraction \(\frac{X-5}{3}\) equals the domain of the algebraic fraction ......

a) \(\frac{X}{X^2 + 1}\)

b) \(\frac{X}{X-3}\)

c) \(\frac{3}{X-5}\)

d) \(\frac{X-5}{X-3}\)

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a) The domain is \(\mathbb{R} \setminus \{-2\}\) (Correct: c)

b) The domain is \(\mathbb{R} \setminus \{0\}\) (Correct: c)

c) The domain is \(\mathbb{R}\) (all real numbers) (Correct: d)

d) The domain equals \(\frac{X}{X^2 + 1}\) (Correct: a)