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16 votes
16 votes
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

User Polkduran
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2 Answers

13 votes
13 votes

Answer:

B

Explanation:

User Carmelo La Monica
by
2.8k points
9 votes
9 votes

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.

User MestreDosMagros
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3.0k points