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Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainliest! Due in two hours. A. 5 B. -5 C. -2 D. 2

Chose all the values of x that are not in the domain of this rational function Picture attached 15 points and Ill give Brainliest Due in two hours A 5 B 5 C 2 D class=

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Answer:

Solution : Option A and Option C

Step-by-step explanation:

To find the values of x that are not present in the domain, we can start by making the denominator equal to 0. This would make the fraction undefined, and hence will solve for the value(s) of x that do not belong to the function -

x² - 3x - 10 = 0,

(x + 2)(x - 5) = 0,

x = - 2 and x = 5

Domain {x | x ≠ - 2 ≠ 5 }

Hence our solution(s) are option a and option c

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Answer:

[tex]\huge \boxed{x=5 \ \mathrm{and} \ x=-2}[/tex]

Step-by-step explanation:

The domain of a function are all possible values for x.

To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.

[tex]x^2-3x-10 =0[/tex]

Factoring left side of the equation.

[tex](x+2)(x-5)=0[/tex]

Setting the factors equal to 0.

[tex]x+2=0 \\ \\ x=-2 \\ \\ \\ \\ x-5=0 \\ \\ x=5[/tex]

The values of x that are not in the domain of the rational function are x = -2 and x = 5.

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