1. Given f (x) = 2x + 3 and g(x) = x -5.
Answer (1)
(f + g)(x)= f(x) + g(x)= (2x + 3) + (x - 5)= 3x - 2(f - g)(x)= f(x) - g(x)= (2x + 3) - (x - 5)= 2x + 3 - x + 5= x + 8(f × g)(x)= f(x) × g(x)= (2x + 3)(x - 5)= 2x(x - 5) + 3(x - 5)= 2x² - 10x + 3x - 15= 2x² - 7x - 15(f ÷ g)(x)= f(x) ÷ g(x)= (2x + 3) / (x - 5), x ≠ 5
