I will give 25 points and brainiest

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

Answer:

Step-by-step explanation:

The top line has a closed dot on 3 & 9 for the x axis, which means it represents 3 ≤ x ≤ 9. The y axis is on 4 for this line so it also works.

The bottom line has a open dot on 3 & a closed dot on 9 for the x axis, which means it represents -9 ≤ x < 3. The y axis is on -8 for this line so it also works.

Note:

If this is confusing or you need clarification, feel free to ask in the comments :)

Ket [755]3 years ago

8 0

Answer:

Step-by-step explanation:

The trick here seems to be to match the domains of the pieces.

-9 ≤ x < 3 . . . . means exactly that.

The graph that shows the domain of the left piece being [-9, 4) is not the graph of the function.

Graph A matches the function definition.

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Factorization of the given polynomial to find the product is as follows;

Factorizing;

$\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} = \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}$

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Expressing the product in terms of the factors

$\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}$