यदि f(x) = x और g(x) = |x|, तो निम्नलिखित फलनों को परिभाषित कीजिए-
(i) f+ g `" "` (ii) f-g
(iii) `f *g " "` (iv) `(f)/(g)`

Answer

(i) `(f+g)(x) = {(2x","x ge 0), (0"," x lt 0):} " "` (ii) `(f-g)(x) = {(0"," x ge 0), (2x"," x lt 0):}`
(iiI) `(f * g) (x) = {(x^(2)"," x ge 0),(-x^(2)"," x lt 0):} " "` (iv) `((f)/(g))(x) = {(1"," x gt 0), (-1"," x lt 0):}`