Two marks exercise problems III — task. Mathematics State Board, Class 10.

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Answer variants:

ℝ - {9}

\(\mathbb{R}\)

ℝ + \{9\}

\([-2, \infty]\)

\([2, \infty]\)

9

\frac{1}{9}

1. Write the domain of the following real functions.

(i) \(f(x)\) \(=\) \(\frac{2x + 1}{x - 9}\).

Domain of the function \(f(x)\) \(=\)

(ii) \(p(x) = \frac{-5}{4x^2 + 1}\)

Domain of the function \(p(x)\) \(=\)

(iii) \(g(x) = \sqrt{x - 2}\)

Domain of the function \(g(x)\) \(=\)

(iv) \(h(x) = x + 6\)

Domain of the function \(h(x)\) \(=\)

2. Given that

f (x) = \{\begin{array}{l} \sqrt{x - 1} \\ 4 \end{array} \begin{array}{l} x \geq 1 \\ x < 1 \end{array}\}

. Find:

(i) \(f(0)\) \(=\)

(ii) \(f(3)\) \(=\)

\sqrt{i}

(iii) \(f(a + 1)\) in terms of \(a\), \((a \ge 0)\) \(=\)

\sqrt{i}

Did you find an error?

4. Two marks exercise problems III