Answer:
The inequality is [tex]5x-5\geq 0[/tex] or [tex]x\geq 1[/tex]
Step-by-step explanation:
The correct question is
Consider the function f(x)=sqrt(5x-5)+1 which inequality is used to find the domain?
we know that
The square root function is defined only for the positive values including 0.
we have
[tex]f(x)=\sqrt{5x-5}+1[/tex]
so
The term inside the square root must be greater than or equal to zero
[tex]5x-5\geq 0[/tex]
solve for x
Factor 5
[tex]5(x-1)\geq 0[/tex]
Simplify
[tex](x-1)\geq 0[/tex]
[tex]x\geq 1[/tex]
The value of x must be greater than or equal to 1
