Question

# Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. g(x)=2\sqrt{3}-x,(-\infty

Matrices

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval.
$$\displaystyle{g{{\left({x}\right)}}}={2}\sqrt{{{3}}}-{x},{\left(-\infty,{3}\right]}$$

Polynomials such as 3— x are continous for all real numbers, so it is contintious and also $$\displaystyle\geq{0}$$ for the given interval.
The domains of root functions are the values for which the radicand (value inside the radical) is $$\displaystyle\geq{0}$$.
$$\displaystyle\sqrt{{{3}-{x}}}$$