Find Where Undefined/Discontinuous (k^14+4k^7+3)/(2k^11+2k^4)

Set the denominator in ${\displaystyle \frac{k^{14}+4k^7+3}{2k^{11}+2k^4}}$ equal to ${\displaystyle 0}$ to find where the expression is undefined.

Graph each side of the equation. The solution is the x-value of the point of intersection.

The equation is undefined where the denominator equals ${\displaystyle 0}$, the argument of a square root is less than ${\displaystyle 0}$, or the argument of a logarithm is less than or equal to ${\displaystyle 0}$.