Last updated at December 13, 2024 by Teachoo
Transcript
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 ā“(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 ā“ (f ā g) (x) = āx + 4