Let f(x) = x² and g(x) = 3x + 2 be two real functions. Then, find:

(i) (f + g)(x) 

(ii) (f - g)(x) 

(iii) (fg)(x) 

(iv) (^f/_g)(x)

(i) f(x) + g(x) = x² + (3x + 2) = x² + 3x + 2

(ii) f(x) - g(x) = x² - (3x + 2) = x² - 3x - 2

(iii) f(x) · g(x) = x²(3x + 2) = 3x³ + 2x²

(iv) ^f(x)/_g(x) = ^x2/_{3x + 2}