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
One third is left, i think. Sorry, I might be off.
To prove that it is a parallelogram, remember that the definition of a parallelogram is a quadrilateral with two pairs of parallel sides. Therefore, one way to prove it is a parallelogram is to verify that the opposite sides are parallel. From algebra, remember that two lines are parallel if they have the same slope.
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