# Proof of Continuity – A split function with a rational function – Exercise 6223

Exercise

Given the function

$$f(x) = \begin{cases} \frac{3x^2-5x-2}{3x^2-12}, &\quad 2 \neq x\geq 0\\ 1, &\quad x \neq 2\\ \end{cases}$$

Is it continuous?