ANTH 2 Lecture 4: Worksheet 4 (Exponential and Log, Part 1)
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Verify that the following functions f and g are inverses of each other by showing that f (g(x)) = x = g( f (x)) . Then find the domains of ( f ! g)(x) and g ! f. )(x) . a) f (x) = x 2 9, x 0; g(x) = x + 9, x 9 b) f (x) = For the given functions, i) f (x) = 2 + x3 ii) f (x) = x +1, x 1 iii) f (x) = For an artery with radius 0. 5 cm/s, v is given as a function of r (in cm) by v = g(r) = 18, 500 0. 25 r 2: in general, quadratic functions are not one to one. Find the domain, range, x and y intercepts. a) y = 3x y = 3x y = 3 x y = 3 x b) y = x.