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Assume the function f(x) is defined as follows: f(x) = (x

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Assume the function f(x) is defined as follows: f(x) = (x [#permalink] New post 05 Jun 2016, 16:01
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Assume the function f(x) is defined as follows: \(f(x) = (x-4)^2 + \sqrt{(x+3)} + \frac{5}{x+2}\). For Which of the following values of x is f(x) defined?

Indicate all such values.

A. -5
B. -4
C. -3
D. -2
E. -1






The answer is C and E. I could only select one in the official answer choice box.
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Jun 2016, 13:50, edited 2 times in total.
Renamed the topic and edited the question.
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Re: Please HELPP [#permalink] New post 06 Jun 2016, 01:49
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GREHelp what is the source of the question ???
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Re: Please HELPP [#permalink] New post 06 Jun 2016, 13:15
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Sorry the source of the question is Manhattan Prep Algebra Book.
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Re: Please HELPP [#permalink] New post 10 Jun 2016, 11:21
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Can anyone provide any guidance to help answer this?
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Re: Assume the function f(x) is defined as follows: f(x) = (x [#permalink] New post 10 Jun 2016, 13:55
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GREhelp wrote:
Assume the function f(x) is defined as follows: \(f(x) = (x-4)^2 + \sqrt{(x+3)} + \frac{5}{x+2}\). For Which of the following values of x is f(x) defined?

Indicate all such values.

A. -5
B. -4
C. -3
D. -2
E. -1

The answer is C and E. I could only select one in the official answer choice box.


You should know two properties:

1. The square root from a negative number is not defined, thus x+3 must be more than or equal to 0: \(x+3 \geq 0\) --> \(x \geq-3\). Eliminate options A, and B.

2. Division by 0 is not allowed, thus x+2 cannot be 0, which means that x cannot be -2. Eliminate D.

Answers C and E.

Hope it's clear.
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Re: Assume the function f(x) is defined as follows: f(x) = (x [#permalink] New post 24 Jul 2017, 07:20
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Great, thanks
Re: Assume the function f(x) is defined as follows: f(x) = (x   [#permalink] 24 Jul 2017, 07:20
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Assume the function f(x) is defined as follows: f(x) = (x

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