4. The coordinates of rectangle PQRS are P(1,6),Q(1,2),R(9,2) and S(9,6). Show that the diagonals are equal in length.
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Answer:
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
Therefore;
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;