Question

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?

Answer 1

Given:

The function is:

$f(x)=\sqrt{x-3}$

To find:

The inequality that is used to find the domain of the given function.

Solution:

We have,

$f(x)=\sqrt{x-3}$

We know that the radical functions are defined for only positive values of radicand.

It means the given function is defined if the value of (x-3) is greater than or equal to 0.

$x-3\geq 0$

Adding 3 on both sides, we get

$x-3+3\geq 0+3$

$x\geq 3$

The inequality $x-3\geq 0$ is used to find the domain of the given function and the domain of the given function is $x\geq 3$.

Therefore, the correct option is B.