Let f ( x ) = x 2 − 4 x , g ( x ) = x + 5 , h ( x ) = x − 12 . How many integers are absent from the range of g ( f ( x )) / h ( f ( x )) ?

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The range is ( − ∞ , − 1/16 ] ∪ ( 1 , ∞ ) ; only 0 and 1 are absent.

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