Answer:
see explanation
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x), that is
f(g(x)) = f(x - 1) = 3(x - 1) = 3x - 3
Similarly to evaluate g(f(x)) substitute x = f(x) into g(x)
g(f(x)) = g(3x) = 3x - 1
The number of cubes needed to fill the rectangular prism 4608 cubes.
<h3>How to find volume of rectangular prism and cube?</h3>
volume of rectangular prism = lwh
where
- l =length
- w = width
- h = height
Therefore,
volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³
volume of the cube = l³
where
Therefore,
volume = (1 / 4)³
volume of the cube = 1 / 64 inches³
Therefore,
The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64
The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608
learn more on volume here;brainly.com/question/14996332
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