Misc 7 - Chapter 2 Class 11 Relations and Functions

Last updated at August 5, 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 ā†’ R be defined, respectively by f(x) = x + 1, g(x) = 2x ā€“ 3. Find f + g, f ā€“ g and š‘“/š‘” f(x) = x + 1, g(x) = 2x ā€“ 3 (f + g) (x) = f(x) + g(x) = (x + 1) + (2x ā€“ 3) = 3x ā€“ 2 āˆ“(f + g) (x) = 3x ā€“ 2 (f ā€“ g) (x) = f(x) ā€“ g(x) = (x + 1) ā€“ (2x ā€“ 3) = x + 1 ā€“ 2x + 3 = ā€“ x + 4 āˆ“ (f ā€“ g) (x) = ā€“x + 4

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