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Misc 7 - Let f(x) = x + 1, g(x) = 2x - 3. Find f + g, f - g, f/g - Algebra of real functions

  1. Chapter 2 Class 11 Relations and Functions
  2. Serial order wise
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Misc 7 Let f, g: R โ†’ R be defined, respectively by f(x) = x + 1, g(x) = 2x โ€“ 3. Find f + g, f โ€“ g and ๐‘“/๐‘” f(x) = x + 1, g(x) = 2x โ€“ 3 (f + g) (x) = f(x) + g(x) = (x + 1) + (2x โ€“ 3) = 3x โ€“ 2 โˆด(f + g) (x) = 3x โ€“ 2 (f โ€“ g) (x) = f(x) โ€“ g(x) = (x + 1) โ€“ (2x โ€“ 3) = x + 1 โ€“ 2x + 3 = โ€“ x + 4 โˆด (f โ€“ g) (x) = โ€“x + 4 (f/g) (x) = (f(x))/(g(x)) where, g (x) โ‰  0, x โˆˆ R = (x + 1)/(2x โˆ’ 3) Where , 2x โ€“ 3 โ‰  0 2x โ‰  0 + 3 2x โ‰  3 x โ‰  3/2 โˆด(f/g) (x) = (x + 1)/(2x โˆ’ 3) , where x โ‰  3/2

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