Misc 8 - Let f = {(1, 1), (2, 3), (0, -1), (-1, -3)}, f(x) = ax + b - Miscellaneous

  1. Chapter 2 Class 11 Relations and Functions
  2. Serial order wise
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Misc 8 Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b. We have to solve a + b = 1 2a + b = 3 To find a and b Calculating (2) – (1) 2a + b – (a + b) = 3 – 1 2a + b – a – b = 2 2a – a + b – b = 2 a + 0 = 2 a = 2 Putting a = 2 in (2) a + b = 1 2 + b = 1 b = 1 – 2 b = – 1 Hence, a = 2 & b = – 1

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