Question

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

Answer 1

The rational expression f(x)=(-11x+1)/(-30x^(2)-25x+5) is undefined when x equals 0.0216 and -0.0224.

Step-by-step explanation:

The rational expression f(x) = (-11x+1)/(-30x^(2)-25x+5) is undefined when the denominator is equal to zero. To find the values of x that make the denominator zero, we need to solve the quadratic equation -30x^2 - 25x + 5 = 0.

Using factoring or the quadratic formula, we find that the solutions are x = 0.0216 and x = -0.0224.