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30 Dec 2019, 13:08
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:08) correct
19%
(02:24)
wrong
based on 265
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If \(f(w) =\frac{1}{w} + \frac{1}{w+8}\) and the function f(w) equals \(\frac{1}{w-1}\), then a possible value for w could be
(A) -8
(B) -4
(C) -2
(D) -1
(E) 3
30 Dec 2019, 13:45
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1/w + 1/(w+8) = 1/(w-1)
Evaluate available choice:
(A) -8, NO!, because 1/(w+8) =1/0.
(B) -4, NO!, because 1/-4 + 1/(2) = 1/(-5)
(C) -2, Yes!, because 1/-2 + 1/(6) = 1/(-3)
We stop at (C) because we have found the answer.
FINAL ANSWER IS (C)
Posted from my mobile device
Evaluate available choice:
(A) -8, NO!, because 1/(w+8) =1/0.
(B) -4, NO!, because 1/-4 + 1/(2) = 1/(-5)
(C) -2, Yes!, because 1/-2 + 1/(6) = 1/(-3)
We stop at (C) because we have found the answer.
FINAL ANSWER IS (C)
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Archit3110
Major Poster
31 Dec 2019, 04:42
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use plug in technique
at w = -2
we get
1/w+1/w+8 = 2w+8/w(w+8) ; -1/3
and
1/w−1 = -1/3
IMO C; -2
If f(w)=1/w+1/w+8 and the function f(w) equals 1/w−1, then a possible value for w could be
(A) -8
(B) -4
(C) -2
(D) -1
(E) 3
at w = -2
we get
1/w+1/w+8 = 2w+8/w(w+8) ; -1/3
and
1/w−1 = -1/3
IMO C; -2
If f(w)=1/w+1/w+8 and the function f(w) equals 1/w−1, then a possible value for w could be
(A) -8
(B) -4
(C) -2
(D) -1
(E) 3
