Problem : Let f (x) = 2x - 5 and g(x) = . What are (f + g)(x), (f - g)(x), (fg)(x), ()(x), and (fog)(x)?

(f + g)(x) = x - 5; (f - g)(x) = x - 5; (fg)(x) = x2 - x; ()(x) = ; (fog)(x) = x - 5.

Problem : Let f (x) = - 2 and g(x) = x + 1. What is (fog)(x) and (gof )(x)?

(fog)(x) = - 2; (gof )(x) = - 1.