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GRE prep Club test question; Question ID Q02-43
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26 Jun 2017, 10:25
26 Jun 2017, 10:25
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Question Stats:
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100% (00:00) wrong based on 6 sessions
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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
Answer is d and f
i dont understand the explaination
or f(x) to be defined, the individual terms of f(x) need to be real. The conditions are analysed below:
(x−5)^2 will be real regardless any value of x<
√x+3 will be defined if x≥−3 So, D, E , F are possible.
5/(x+2) will be defined if the denominator (x+2)≠0(. So x cannot be -2. So the only options remain are D and F.
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
Answer is d and f
i dont understand the explaination
or f(x) to be defined, the individual terms of f(x) need to be real. The conditions are analysed below:
(x−5)^2 will be real regardless any value of x<
√x+3 will be defined if x≥−3 So, D, E , F are possible.
5/(x+2) will be defined if the denominator (x+2)≠0(. So x cannot be -2. So the only options remain are D and F.
Re: GRE prep Club test question; Question ID Q02-43
[#permalink]
26 Jun 2017, 15:18
26 Jun 2017, 15:18
1
Expert Reply
The question had a typo. The last term is \(\frac{5}{x-2}\).
If any individual term becomes undefined or infinity then the function becomes undefined or infinity.
Since complex number / infinity + real number is complex number or infinity.
So you have to check each term one by one to make sure they comply with the definitions.
Hope you get this!
If any individual term becomes undefined or infinity then the function becomes undefined or infinity.
Since complex number / infinity + real number is complex number or infinity.
So you have to check each term one by one to make sure they comply with the definitions.
Hope you get this!
Re: GRE prep Club test question; Question ID Q02-43
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26 Jun 2017, 19:45
26 Jun 2017, 19:45
1
BUt all the values fit except for 2..then hoow is the answer d and f only?
