Question

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

Answer 1

`x inRR,x>=2`
`y inRR,y>=0`

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]}