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Checkpoint Quiz 1.6

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1. Let f (x) = 2x + 6 and g(x) = x2 − 9.

Find the domain of the following functions and simplify their expressions.

(a) (g − f )(x) (b) (

f

g

) (x)

2. Let f (x) = −x2 + 2x − 3. Find and simplify the difference quotient, f (x + h) − f (x)

h .