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Answer:
f[g(4)] = 4
Step-by-step explanation:
Given table:
f[g(4)] is a composite function.
When calculating <u>composite functions</u>, always work from inside the brackets out.
Begin with g(4): g(4) is the value of function g(x) when x = 4.
From inspection of the given table, g(4) = -6
Therefore, f[g(4)] = f(-6)
f(-6) is the value of function f(x) when x = -6.
From inspection of the given table, f(-6) = 4
Therefore, f[g(4)] = 4
<h3>Answer: 297 square cm</h3>
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Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
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Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm