If $f ( x ) = 3 x - 2$ And $g ( x ) = 3 + 2 x ^ { 2 }$

question 88

Multiple Choice

If $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$ , find $f g$ and $( g \circ f ) ( x )$

• A) \(f g = x ^ { 3 } - 4 x ^ { 2 } + 9 x - 1 ; \quad \quad ( g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11\)
• B) \(f g = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6 ; \quad (g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11\)
• C) \(f g = 2 x ^ { 2 } + 3 x + 1\); \(\quad \) \(\quad \) \(\quad \)\(( g \circ f ) ( x ) = 6 x ^ { 2 } + 7\)
• D) \(f g = 6 x ^ { 2 } + 7\); \(\quad \) \(\quad \) \(\quad \) \(\quad \)\(( g \circ f ) ( x ) = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6\)
• E) none of these

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