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\leftline{Mathematics 131 -- Calculus for Physical and Life Sciences 1}
\leftline{Precalculus Diagnostic Quiz -- September 7, 2004}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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Do all work on this sheet (front and back if needed).  You have 15 minutes.
No calculators on this quiz.
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1.  Solve for $x$:  $3x^2 - 21x + 30 = 0$.
\vglue 1.75truein
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2.  Let $f(x) = \sqrt{x - 1}$ and $g(x) = x^3 + 1$.  Find $f(g(x))$?  
What is the domain of $f(g(x))$?
\vglue 1.75truein
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3.  Simplify and express as a single fraction:
$${{x \over \sqrt{x+1}} + \sqrt{x+1} \over {x \over x^2 + 3}}$$
\vglue 1.75truein
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4.  Let $f(x) = x^2 + 2x$.  Compute and simplify: $f(2+h) - f(2-h)$.
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