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Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is shown.
Then the volume of the given geometry will be
Volume = Area of the trapezoid × Height
Then the area of the trapezoid will be
Then the volume of the geometry will be
Volume = 32.5 × 10.5
Volume = 341.25 cubic ft.
More about the geometry link is given below.
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