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Find the domain. Then use the drop down menu to select the correct symbols to indicate your answer in interval notation. If a number is not an integer then round it to the nearest hundredth. To indicate positive infinifty ( \infty ) type the three letters "inf". To indicate negative infinity(-\infty ) type "-inf" with no spaces between characters. f(x)= \frac{2x^3-250}{x^2-2x-15} AnswerAnswer,AnswerAnswerUAnswerAnswer,AnswerAnswerUAnswerAnswer,AnswerAnswer

Find The Domain Then Use The Drop Down Menu To Select The Correct Symbols To Indicate Your Answer In Interval Notation If A Number Is Not An Integer Then Round class=

Answer :

The domain of a function is all values of x the function can assume.

Since this function has a fraction, and any fraction can't have a denominator equal to 0, we have the following condition:

[tex]\begin{gathered} x^2-2x-15\ne0 \\ x\ne\frac{2\pm\sqrt[]{4+60}}{2} \\ x\ne\frac{2\pm8}{2} \\ x\ne5,x\ne-3 \end{gathered}[/tex]

The variable x can be any real number, except -3 and 5, therefore the domain set is:

[tex](-\text{inf,}-3)\cup(-3,5)\cup(5,\text{inf)}[/tex]

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