Answer: The domain of the function
is:
Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)
Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }
All real numbers besides 0, 7, and -7.
Step-by-step explanation:
In order to find the domain of your rational function, we need to simplify it:

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.
To find the domain, we equal the equations in the denominator to zero.

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So all real numbers except for 0, -7, and 7 are in the domain of this rational function.
So first you distribute the 5 to the x and the +2 and get
5x+10=3(x+8)
then you distribute the 3 to the other x and the +8 and get
5x+10=3x+24
subtract 3x from both sides
2x+10=24
subtract 10 from both sides and get
2x=14
divide both sides by 2 and get
x=7
Hello :
<span> (12x^3-4x^2+8x) / -2x = - 6x²+2x - 4</span>