The solution to the composite function f(g(x)) is 9x² - 78x + 165.
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What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
No, he forgot to add the area of the triangles to the area of the rectangle.
It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.
Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.
This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.
The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)
With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.
Answer:
√26 ≈ 5.1 units
Step-by-step explanation:
√(x₂ - x₁)² + (y₂ - y₁)²
√(3/2 - 5/2)² + (8 - 3)²
√(-1)² + (5)²
√1 + 25
√26
To find the volume of a cone, you use the formula
.
Radius squared would be 36 in our case and 36 times 3.14 is 113.04. 6 thirds is also two, so multiply that by two and you would get 113.04 x 2 = 226.08. So, your answer would be 226.08 cubic meters of dirt.
