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

1 Answer
Jim G.
Aug 2, 2018

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]}

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