Answer Happy

Let f(t) and g(t) be the periodic functions defined for t > 0 by if 0 ≤ t < 1 1 if 0 < t < 1 if 1 < t < 2 0 if 1 < t < 2 f(t) = g(t) = 1 and f(t+2) = f(t) and g(t + 2) = g(t) for all t. a) Find L{g(t)}. b) Use part (a) to find L{f(t)}.