Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Discontinuities
- Removable (Holes)
- Jump (Piece-wise functions)
- Infinite (Asymptotes)
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Simplify</u>
- [Frac - Numerator] Factor quadratic:

- [Frac - Denominator] Factor GCF:

- [Frac] Divide/Simplify:

When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
That would be
f(x) = (x - 2)(x - 3)(x + 3)
expanded this is f(x) = (x - 2)(x^2 - 9)
= x^3 - 2x^2 - 9x + 18
If im looking at this the answer would be C
The answer choice which is correct regarding the two functions is; For any value of x, g(x) will always be greater than h(x).
<h3>Which statement is true for the functions?</h3>
It follows from the task content that the functions given are; g(x) = x² and h(x) = –x².
On this note, since all values of x return a positive value for g(x) due to the square, it follows that the corresponding value of h(x) is always lesser.
Read more on functions:
brainly.com/question/10439235
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