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Answer: x</h3>
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Work Shown:
![g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%7B%28x-1%29%5E2%7D%7B3%7D%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20%5Cfrac%7B%28f%28x%29-1%29%5E2%7D%7B3%7D%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20%5Cfrac%7B%281%2B%5Csqrt%7B3x%7D-1%29%5E2%7D%7B3%7D%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20%5Cfrac%7B%28%5Csqrt%7B3x%7D%29%5E2%7D%7B3%7D%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20%5Cfrac%7B3x%7D%7B3%7D%5C%5C%5C%5Cg%28f%28x%29%29%20%3D%20x%5C%5C%5C%5C)
The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.
The area of a trapezoid is found using the formula, A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is the height (the perpendicular distance between the bases) of the trapezoid.
Answer:
the answer is 42
Step-by-step explanation:
a triangle has 3 sides so if you multiply 14 by 3 then you will have the answer for you perimeter
Hope this helps:)
Can I get Branliest?
Answer:
16.8
Step-by-step explanation:
84 / 5 = 16.8
Hello from MrBillDoesMath
Answer:
See below for steps.
Discussion:
As I understand the problem statement we have a cylinder of height h and radius r. The volume of the cylinder is given by the formaul:
V = (pi * r^2) h
Divide both sides by (pi * r^2):
V\ (pi * r^2)) = ( (pi * r^2) * h ) \ ((pi * r^2) =>
V\ (pi * r^2) = 1 * h = h as (pi * r^2) \ (pi * r^2))
Therefore, h = V\ (pi * r^2)
Thank you,
Mr. B