Respuesta :
The values of x for which the rational expression is undefined are -6 and -8.
What is a function?
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:
[tex]\rm f(x) = \dfrac{3x+20}{x^2+14x+48}[/tex]
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
[tex]\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}[/tex]
[tex]\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}[/tex]
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
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