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Given the Polynomial Functions, Find the Product Function and the Specified

Question 67

Multiple Choice

Given the polynomial functions, find the product function and the specified value.
-Let f(x) =x+6f ( x ) = x + 6 and g(x) =x11g ( x ) = x - 11 . Find (fg) (x) ( f g ) ( x ) and (fg) (2) ( f g ) ( 2 ) .


A) (fg) (x) =x25x66;(fg) (2) =72( f g ) ( x ) = x ^ { 2 } - 5 x - 66 ; ( f g ) ( 2 ) = - 72
B) (fg) (x) =x2+5x66;(fg) (2) =52( f g ) ( x ) = x ^ { 2 } + 5 x - 66 ; ( f g ) ( 2 ) = - 52
C) (fg) (x) =x2+17x+66;(fg) (2) =104( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } + 17 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 104
D) (fg) (x) =x25x+66;(fg) (2) =60( \mathrm { fg } ) ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 5 \mathrm { x } + 66 ; ( \mathrm { fg } ) ( 2 ) = 60

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