Check sibling questions

Check whether the function 𝑓: 𝑅 → 𝑅 defined as 𝑓(𝑥) = 𝑥3 is one-one or not.

 


Transcript

Question 1 (Choice 1) Check whether the function 𝑓: 𝑅 → 𝑅 defined as 𝑓(𝑥) = 𝑥3 is one-one or not. f(x) = x3 Checking one-one f(x1) = (x1)3 f(x2) = (x2)3 Thus, f (x1) = f (x2) (x1)3 = (x2)3 ∴ x1 = x2 Since if f(x1) = f(x2) , then x1 = x2 ∴ It is one-one

  1. Class 12
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo