Practice problem
Which of the following functions has a removable discontinuity?
{x2+5x−24x+8x≠−86x=−8\begin{cases}\frac{x^2+5x-24}{x+8}&x\neq-8\\6&x=-8\end{cases}{x+8x2+5x−246x=−8x=−8
{x2−3x−4x−4x≠−46x=−4\begin{cases}\frac{x^2-3x-4}{x-4}&x\neq-4\\6&x=-4\end{cases}{x−4x2−3x−46x=−4x=−4
{x2+10+25x+5x≠26x=2\begin{cases}\frac{x^2+10+25}{x+5}&x\neq2\\6&x=2\end{cases}{x+5x2+10+256x=2x=2
{x3+6x2+11x+6x2+3x+2x≠16x=1\begin{cases}\frac{x^3+6x^2+11x+6}{x^2+3x+2}&x\neq1\\6&x=1\end{cases}{x2+3x+2x3+6x2+11x+66x=1x=1
Type a concept, like “slope” or “photosynthesis”.
