# What is the domain and range of # f(x)=sqrt(5x-10)#?

##### 1 Answer

Aug 2, 2018

#### Explanation:

#"For the radical we require"#

#5x-10>=0rArr5x>=10rArrx>=2#

#"domain is "x inRR,x>=2#

#[2,oo)larrcolor(blue)"in interval notation"#

#f(2)=0#

#"range is "y inRR,y>=0#

#[0,oo)" in interval notation"#

graph{sqrt(5x-10) [-10, 10, -5, 5]}