Question

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.

Answer 1

Answer:

$x = \frac{1}{6},x = - 1$

Step-by-step explanation:

The given rational expresion is

$f(x) = \frac{ - 11x + 1}{ - 30 {x}^{2} - 25x + 5 }$

This expression is undefined, when the denominator is zero.

$- 30 {x}^{2} - 25x + 5 = 0$

Divide through by -5

$6 {x}^{2} + 5x - 1 = 0$

We factor to obtain:

$(6x - 1)(x + 1) = 0$

Hence the function is undefined when

$x = \frac{1}{6},x = - 1$