Practice problem
Which of the following functions has a removable discontinuity?
{x2+2x−3x−1x≠14x=1\begin{cases}\frac{x^2+2x-3}{x-1}&x\neq1\\4&x=1\end{cases}{x−1x2+2x−34x=1x=1
{10x2−13x−35x−3x≠0.64x=0.6\begin{cases}\frac{10x^2-13x-3}{5x-3}&x\neq0.6\\4&x=0.6\end{cases}{5x−310x2−13x−34x=0.6x=0.6
{6x2−11x−35x−3.5x≠3.54x=3.5\begin{cases}\frac{6x^2-11x-35}{x-3.5}&x\neq3.5\\4&x=3.5\end{cases}{x−3.56x2−11x−354x=3.5x=3.5
{12x2+5x−23x+2x≠−24x=−2\begin{cases}\frac{12x^2+5x-2}{3x+2}&x\neq-2\\4&x=-2\end{cases}{3x+212x2+5x−24x=−2x=−2
Type a concept, like “slope” or “photosynthesis”.
