Misc 7 - Chapter 2 Class 11 Relations and Functions

Last updated at August 14, 2026 by

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

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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

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