Question

Identify the domain and range
with steps please (picture below)

Answer 1

`D:x-1\geq0\\ D:x\geq1\\\\`


`\hbox{ range of } \sqrt {x-1} \hbox{ is } \langle0,\infty)\\ \hbox{ range of } -(3)/(4)\sqrt {x-1} \hbox{ is } \langle-(3)/(4)\cdot0,-(3)/(4)\cdot\infty)=(-\infty,0\rangle\\ \hbox{ range of } -(3)/(4)\sqrt {x-1}+4 \hbox{ is } (-\infty+4,0+4\rangle=(-\infty,4\rangle\\`