The inequality which is used to find the domain of the given function
f(x) = [tex]\sqrt{5x - 5}[/tex] is 5x - 5 ≥ 0.
According to the given question.
We have a function
f(x) = [tex]\sqrt{5x - 5}[/tex].
As we know that domain is the set of all input values for which the function is defined.
Here, our whole function is in square root, and only positive term are defined under the sign squareroot.
So, to find the domain of the given function 5x - 5 should always be greater than or equal to zero otherwise our function will not defined.
Hence, the inequality which is used to find the domain of the given function f(x) = [tex]\sqrt{5x - 5}[/tex] is 5x - 5 ≥ 0.
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