What is the **domain** of $f(x) = \dfrac{1}{x}$?
A$\mathbb{R}$
B$\mathbb{R}^{+}$
C$\{0\}$
D$\mathbb{R} \setminus \{0\}$
Answer & Solution
Correct answer: D. $\mathbb{R} \setminus \{0\}$
Division by zero is undefined, so $x = 0$ is excluded. Domain is all real numbers except $0$.
Related questions
Direct: The mother said, 'Sleep now, my child.' Indirect form isDirect: She said to him, 'Can you help me?' Indirect form isDirect: She said, 'May God bless you!' Indirect form isDirect: The boy said, 'Alas! I have failed.' Indirect form isDirect: He said, 'I bought this book yesterday.' Indirect form isDirect: He said, 'I will see you tomorrow.' Indirect form isDirect: She said, 'Hurrah! We have won the match.' Indirect form isDirect: He said to her, 'Please help me.' Indirect form is