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Sun Oct 27, 2024 4:48 am
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The function g is defined for all nonzero numbers x by the equation \(g(x) = \frac{1}{2x}\). If x ≠ 0, what is g(g(x)) in terms of x ?
A. \(x\)
B. \(4x\)
C. \(\frac{1}{x}\)
D. \(\frac{1}{2x}\)
E. \(\frac{1}{4x^2}\)
GMAT-Club-Forum-lb3lhti4.png [ 46.35 KiB | Viewed 1807 times ]
A. \(x\)
B. \(4x\)
C. \(\frac{1}{x}\)
D. \(\frac{1}{2x}\)
E. \(\frac{1}{4x^2}\)
Attachment:
GMAT-Club-Forum-lb3lhti4.png [ 46.35 KiB | Viewed 1807 times ]
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Sun Oct 27, 2024 4:53 am
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SergejK
\(g(x) = \frac{1}{2x}\)
\(g(g(x)) = g( \frac{1}{2x} )=\frac{1}{2*\frac{1}{2x}}= \frac{1}{\frac{1}{x}}=x \)
Answer: A.
Sun Oct 27, 2024 5:15 am
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Please update the answer option, it should be A.
\(g(x)= \frac{1}{2x}\)
\(g(g(x))= \frac{1}{2*(1/2x)} = x\)
\(g(x)= \frac{1}{2x}\)
\(g(g(x))= \frac{1}{2*(1/2x)} = x\)
