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E
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Difficulty:
5%
(low)
Question Stats:
89% (01:31) correct
11%
(01:58)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
If g(x) = x + 4 for all x and f(x) = (2x^2 - 5)/x for all nonzero x, then f(x) = g(x) for which of the following values of x ?
A. –5
B. –3
C. 1
D. 3
E. 5
A. –5
B. –3
C. 1
D. 3
E. 5
31 Aug 2015, 21:24
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shakticnb
Please be very careful while typing the question. Ensure there is no ambiguity. Brackets are required around 2x^2 - 5 since otherwise no option will satisfy f(x) = g(x). x must divide the whole expression
\(g(x) = x + 4\)
\(f(x) = \frac{(2x^2 - 5)}{x}\)
Plug in x = 1 first.
\(g(x) = x + 4 = 5\)
\(f(x) = \frac{(2*1 - 5)}{1} = -3\)
Does not satisfy
Next, try 5. g(x) is an integer in every case. Numerator of f(x) will be divisible by 5 so f(x) will be an integer in case x = 5. Hence it makes sense to try 5 next.
\(g(x) = 5 + 4 = 9\)
\(f(x) = \frac{(2*5^2 - 5)}{5} = 9\)
Satisfies.
Answer (E)
General Discussion
31 Aug 2015, 20:28
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Hi shakticnb,
What is the source of the question?
None of the answers given here are correct.
What is the source of the question?
None of the answers given here are correct.
