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Determine the value(s) for which the rational expression f(x)=(?11x+1)/(?30x^2?25x+5) is undefined. If there's more than one value, list them separated by a comma, e.G. X=2,3.

Respuesta :

kudzordzifrancis

Answer:

[tex]x = \frac{1}{6},x = - 1[/tex]

Step-by-step explanation:

The given rational expresion is

[tex] f(x) = \frac{ - 11x + 1}{ - 30 {x}^{2} - 25x + 5 } [/tex]

This expression is undefined, when the denominator is zero.

[tex] - 30 {x}^{2} - 25x + 5 = 0[/tex]

Divide through by -5

[tex]6 {x}^{2} + 5x - 1 = 0[/tex]

We factor to obtain:

[tex](6x - 1)(x + 1) = 0[/tex]

Hence the function is undefined when

[tex]x = \frac{1}{6},x = - 1[/tex]

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