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Calculus I                                                          Quiz #3                            February 17, 2004

Name____________________                   R.  Hammack                              Score ______
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(1) This problem involves two functions. One function is f(x) = x^2 - x.
The other function g(x) is graphed below.
[Graphics:HTMLFiles/quiz3sol_3.gif]

(a)  f(g(2)) =

(b)  g(f(-1)) =

(c) Using the coordinate axis above, sketch the graph of y = g(x) - 2

 



(2)  Suppose f(x) = x^2 - x  and g(x) = 2x + 1

(a)  (f∘g) (x) =

(b)  (g∘f) (x) =

 


(3) Find the equation of the line passing through the points (2, 4) and (1, -7).
Please put your final answer in slope-intercept form.