What is the domain and the range of the function $g\left(x\right)=-\mid x\mid +5$?

Domain: $(-5,\infty )$

Range: $(-\infty ,-5]$

Domain: $(-\infty ,5)$

Range: $(-\infty ,-5]$

Domain: $(-\infty ,\infty )$

Range: $(-\infty ,-5]$

Domain: $(-\infty ,\infty )$

Range: $(-\infty ,5]$