Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the <u>set that contains all possible input values</u>.
- In a fraction, the <u>denominator cannot be 0</u>.
In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:




Hence, x = -2(not an option) is excluded.
- x = 0 can be factored with the numerator of the second fraction, so not excluded.
For the second fraction, the roots of the denominator are:

Which is a quadratic equation with <u>coefficients</u>
, hence:



x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at brainly.com/question/13136492
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.
<h3>What is a cylinder?</h3>
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,
The volume of the cylinder = (π/4)×(D²) × H
= (π/4)×(11)² × 14
= 1330.5 cm³
Hence, the volume of the cylinder is 1330.5cm³.
Learn more about Cylinder:
brainly.com/question/12248187
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The initial value is where the line intersects the y-axis. So, this does it at y = 2. The graph has a slope (rate of change) of 1, because for every x-value, the y-value goes up by exactly 1. So, the answer is C.
The volume of the resulting solid will be the volume of one rectangular prism times n.
The the volume of a rectangular prism is V=lwh. But since l=w (cross-section is a square), we now have V=l²h.
The volume of the resulting solid will be V = nl²h or V = nw²h.
Parentheses,Exponents,Multiplication,Division,Addition,Subtraction...A.K.A PEMDAS