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A
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Difficulty:
55%
(hard)
Question Stats:
57% (01:42) correct
43%
(01:26)
wrong
based on 100
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In the figure g(x) is shown. If g(a) = 1 then which of the following must be true?
(A) g((g(a)) = 0
(B) g((g(a)) = 1
(C) a = g(a)
(D) a = 0
(E) a = 1
Attachment:
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Attachment:
Screenshot 2023-04-30 135822.png [ 117.18 KiB | Viewed 1937 times ]
01 May 2023, 11:55
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anik2000
Attachment:
Graph new 1.png [ 7.35 KiB | Viewed 2036 times ]
Assuming that the graph is marked at 1,2 as redrawn.
We can clearly see that when \(x=1\), then \(g(x) = 0 \) or we can say \(g(1) = 0 \)
Since we know that \(g(a) = 1 \)
Then \(g(g(a))= g(1) = 0\)
Ans A
Hope it helps.
01 May 2023, 20:00
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stne
In the above solution, it appears that you’ve assumed the equation as y=x-1 and for this the option at A holds true. However, for an equation of the form y=x-0.5 it doesn’t.
Pl clarify
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