GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Assume the function
[#permalink]
Updated on: 30 Dec 2017, 10:38
Updated on: 30 Dec 2017, 10:38
2
Bookmarks
00:00
Question Stats:
15% (00:35) correct
84% (01:06) wrong based on 13 sessions
Hide Show timer Statistics
Assume the function \(f(x)=(x - 5)^2+sqrt(x+3)+(\frac{5}{(x+2)})\) For which of the values \(f(x)\) is defined?
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
Show: :: OA
A,B,C,D,E
ShowHide Answer
Official Answer
A,B,C,D,E
Originally posted by Sonalika42 on 23 Sep 2016, 01:23.
Last edited by Carcass on 30 Dec 2017, 10:38, edited 2 times in total.
Last edited by Carcass on 30 Dec 2017, 10:38, edited 2 times in total.
Edited by Carcass
Re: Assume the function
[#permalink]
24 Sep 2016, 06:46
24 Sep 2016, 06:46
Expert Reply
Sonalika42 wrote:
Assume the function \(f(x)=(x - 5)^2+sqrt(x+3)+(\frac{5}{(x+2)})\) For which of the values \(f(x)\) is defined?
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
I am assuming you mean f(x) is a real valued function and we need to select all options where f(x) is a real number.
In the function there is a square root term, \(sqrt(x+3)\) and the term \(\frac{5}{(x+2)}\). That can yield non real values/ undefined values.
\(\frac{5}{(x+2)}\) is undefined for x=-2. For x= -2 \(\frac{5}{(x+2)}\) becomes \(\frac{5}{(-2+2)}\) or \(\frac{5}{0}\). Which is undefined.
\(sqrt(x+3)\) is not real is \(x+3 < 0\), or \(x< -3\).
So as long as x is greater than or equal to -3. and x is not equal to -2, \(f(x)\) is a real number.
Hence all the options A, B, C, D, E are valid.
PS: Could you please share the page number of his question.??
Re: Assume the function
[#permalink]
12 Oct 2016, 15:09
12 Oct 2016, 15:09
can you post answer of this question?
Sonalika42 wrote:
Assume the function \(f(x)=(x - 5)^2+sqrt(x+3)+(\frac{5}{(x+2)})\) For which of the values \(f(x)\) is defined?
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
Indicate all possible values.
A)6
B)5
C)4
D)3
E)2
F)1
