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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

.