Example 15 - f(x) = 1/x. What is the domain and range - Examples

Example 15 - Chapter 2 Class 11 Relations and Functions - Part 2
Example 15 - Chapter 2 Class 11 Relations and Functions - Part 3 Example 15 - Chapter 2 Class 11 Relations and Functions - Part 4

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Example 15 Define the real valued function f : R – {0} → R defined by f (x) = 1/𝑥 x ∈ R – {0}. Complete the Table given below using this definition. What is the domain and range of this function? Given f(x) = 1/𝑥 , x ∈ R – {0} Finding f(x) at different values of x f(−2) = 1/(−2) = – 0.5 f(−1.5) = 1/(−1.5) = −10/15 = −2/3 = – 0.66 f(−1) = 1/(−1) = −1 f(−0.5) = 1/(−0.5) = −10/5 = – 2 f(0.25) = 1/0.25 = 100/25 = 4 f(0.5) = 1/0.5 = 10/5 = 2 f(1) = 1/1 = 1 f(1.5) = 1/1.5 = 10/15 = 2/3 = 0.66 f(2) = 1/2 = 0.5 So, our table looks like Domain and Range Given f(x) = 1/𝑥 , x ∈ R – {0} For x = 0, y = 1/0 = Not Defined For y = 0, x = 1/0 = Not Defined Hence, x & y can be any real number except 0 Domain = All possible values of x = R – {0} Range = All possible values of f(x) or y = R – {0}

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.