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Zielflug [23.3K]
1 year ago
12

Find all values of the variable

Mathematics
1 answer:
labwork [276]1 year ago
6 0

The values of x for which the rational expression is undefined are -6 and -8.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

\rm f(x) = \dfrac{3x+20}{x^2+14x+48}

As we know in the rational function denominator cannot be zero:

The values of x for which the rational expression is undefined.

x² + 14x + 48 = 0

\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}

\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}

x = -6, -8


Thus, the values of x for which the rational expression is undefined are -6 and -8.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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