Question

If f(x) = sqrt x-3, which inequality can be used to find the domain of f(x)?

sqrt x-3 >/= 0
x - 3 >/= 0
sqrt x - 3 = 0
x - 3 = 0

Answer 1

If your function is this:
`y= √(x-3)`, then you find the domain by setting the radicand, the "x-3", greater than or equal to 0.
`x-3 \geq 0` so
`x \geq 3`. Therefore, the domain is all values of x that are greater than or equal to 3.