Question

If f(x) is equal to the square root of x-3, which inequality can be used to find the domain of f(x)?

Answer 1

the inequality for the domain of f(x) is
`x-3\geq0`

Explanation:

We have been given that
`f(x)=√(x-3)`

Domain is the set of x values, for which the function is defined.

So, we find those values of x for which the square root function is defined.

We know that square root function is defined for positive values only.

Hence, we have the inequality

`x-3\geq0`

Therefore, the inequality for the domain of f(x) is
`x-3\geq0`