[15 points]
5. Let \( g ( x ) = \frac { x ^ { 2 } + x - 6 } { | x - 2 | } \)
Find the following:
a. \( \lim _ { x \rightarrow 2 ^ { + } } g ( x ) \)
b. \( \lim _ { x \rightarrow 2 ^ { - } } g ( x ) \)
c. Does \( \lim _ { x \rightarrow 2 } g ( x ) \) exist?
Joe earns \( \$ 9 \) per hour. He worked \( x \) hours on both Wednesday and Friday, and \( 8 \) hours on both Tuesday and Saturday. Write an expression to represent how much Joe earned.
If a virus spreads at a rate that can be modeled by the exponential function \( A ( t ) = ae ^ { r t } \) , how many people will be infected after \( 5 \) days if initially \( 3 \) people are infected and the growth rate is \( 40 \% \) ?
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