Consider the function f(x)=sqrt(5x-5)+1 which inequality is used to find the domain? answer = 5x-5 is greater than or equal to 0

Given function is

Now we have to find which inequality can be used to find the domain.

Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.

In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

which is same as your answer.

Hence your answer is correct.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)