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Assume the function f(x) is defined as follows: f(x) = (x
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Updated on: 06 Jan 2019, 11:17

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Question Stats:

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

Indicate all such values.

A. -5

B. -4

C. -3

D. -2

E. -1

Show: ::

C, E

Originally posted by GREhelp on 05 Jun 2016, 16:01.

Last edited by GreenlightTestPrep on 06 Jan 2019, 11:17, edited 3 times in total.

Last edited by GreenlightTestPrep on 06 Jan 2019, 11:17, edited 3 times in total.

Renamed the topic and edited the question.

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

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.

Re: Please HELPP
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06 Jun 2016, 01:49

Expert Reply

GREHelp what is the source of the question ???

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Re: Please HELPP
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06 Jun 2016, 13:15

1

Sorry the source of the question is Manhattan Prep Algebra Book.

Re: Please HELPP
[#permalink]
10 Jun 2016, 11:21

1

Can anyone provide any guidance to help answer this?

Re: Assume the function f(x) is defined as follows: f(x) = (x
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24 Jul 2017, 07:20

1

Great, thanks

Re: Assume the function f(x) is defined as follows: f(x) = (x
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28 Jun 2020, 20:56

2

No need any calculation here.

the question is asking what is the possible value of x?

and from the function notice that we have root and fraction.

There is no value for negative roots and dividing by zero is undefined.

hence eliminate all answers that may contradict the rules above.

we left with C and E.

the question is asking what is the possible value of x?

and from the function notice that we have root and fraction.

There is no value for negative roots and dividing by zero is undefined.

hence eliminate all answers that may contradict the rules above.

we left with C and E.

Re: Assume the function f(x) is defined as follows: f(x) = (x
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02 Mar 2024, 07:53

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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