Question

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

StartRoot x minus 3 EndRoot greater-than-or-equal-to 0
x minus 3 greater-than-or-equal-to 0
StartRoot x minus 3 EndRoot less-than-or-equal-to 0
x minus 3 less-than-or-equal-to 0

Answer 1

B

Explanation:

Answer 2

Given:

The function is:

`f(x)=√(x-3)`

To find:

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

Solution:

We have,

`f(x)=√(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.