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…

Question

asked Apr 25, 2022 80.4k views

2 Answers

NcJie · Answer 1 · 2022-04-29T12:18:29+0000

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.