MAT137Y1 Lecture : MAT 137Y 2007-08Winter Session, Self Generated Solutions to Problem Set 1.pdf
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MAT137Y1 Full Course Notes
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Mat 137y 2007-08 winter session, solutions to problem set 1. 1 (she section 1. 3: |x 2| < 2 = 2 < x 2 < 2 = 0 < x < 4 = x [0,4]. 2 (she section 1. 5: if x > 0 we have f (x) = x x = 1, otherwise if x < 0 we have f (x) = x is unde ned. Therefore, f takes on the value 1 for all values x > 0. ( x) = 1. 3 (she section 1. 6: the lines y = 4x + 2 and y = 19x intersect when 4x + 2 = 19x = x = 2. 23 , y = 38: by question 75, the angle between the lines is given by. 26. f (x) = x2 +x, g(x) = is [0, ). x = ( f g)(x) = f (g(x)) = x: it follows that the domain of f g.
