f(x)=sqrt 7x-6 find the domain
To find the domain of the function f(x) = √(7x-6), we need to determine the values of x for which the function is defined.
The square root function is defined for non-negative values inside the square root. In this case, 7x-6 must be greater than or equal to 0 for the function to be defined.
So, we set up the inequality:
7x - 6 ≥ 0
Solving for x, we get:
7x ≥ 6
x ≥ 6/7
Therefore, the domain of the function f(x) = √(7x-6) is all real numbers x such that x ≥ 6/7.