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Algebra
Question

Let \( f ( x ) = a x + b \) and \( g ( x ) = b x +...

Let \( f ( x ) = a x + b \) and \( g ( x ) = b x + a \) , where \( a \) and \( b \) are integers. If \( f ( 1 ) = 6 , \) and \( f ( g ( 18 ) ) - g ( f ( 18 ) ) = 20 \) 

find the product of \( a \) and \( b .\) 

Answer

\(ab = 5\)

Solution
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