The function f: ℝ → ℝ defined by f(x) = 1/x assigns each real number x (except 0) its reciprocal. The domain of f(x) is ℝ \ {0} and the range is also ℝ \ {0}.
Class 12 Maths Relations and Functions Chapter 1 for CBSE Exam 2024-25 covers relations between sets and various types of functions such as one-one and onto. Key concepts include domain and range of functions along with composite functions and inverse functions. This chapter helps build a strong foundation for higher-level mathematics.
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Since dividing by zero is undefined, f: ℝ → ℝ, given by f(x) = 1/x, is not defined for x = 0.
Since the function is not defined at x = 0, it is not well-defined on the entire set ℝ (since the domain of the function is not the whole ℝ).
– (d) not defined.
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