Answer:
g(7) = 16
Step-by-step explanation:
When evaluating piecewise-defined functions, the first step is to determine which domain the value of the independent variable falls into. Then the associated function is evaluated in the usual way.
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For x=7, the applicable domain is (2, ∞). This means the applicable function is ...
g(x) = (x +1)(x -5)
For x=7, this is ...
g(7) = (7 +1)(7 -5) = (8)(2)
g(7) = 16
