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The signal x(t) = sin(14000 t) where t is in seconds...

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Signal Processing
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The signal x(t) = sin(14000πt), where t is in seconds is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(t) as follows:
\[H\left( f \right) = \left\{ {\begin{array}{*{20}{c}} {1,}&{\left| f \right| \leqslant 12kHz} \\ {0,}&{\left| f \right| > 12kHz} \end{array}} \right.\]
What is the number of sinusoids in the output and their frequencies in kHz?

Answer & Solution
Correct Answer: Option B
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