what is the domain for the sqaure root of 5x-2?
The domain for the square root of 5x-2 is all real numbers such that 5x-2 ≥ 0.
what lesson are yall on are yall i 6th or what grade
just to be clear, the domain is all x ≥ 2/5
To determine the domain of an expression involving the square root, we need to identify the values for which the expression is defined.
The square root function (√) is defined for non-negative real numbers. So, for the expression √(5x - 2) to be defined, we need 5x - 2 to be greater than or equal to zero.
To find the domain, we solve this inequality:
5x - 2 ≥ 0
To isolate x, we can add 2 to both sides:
5x ≥ 2
Finally, we divide both sides by 5 to solve for x:
x ≥ 2/5
Therefore, the domain for the square root of 5x - 2 is x ≥ 2/5.