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Find fgf \circ g f(x)=x+4g(x)=3x216f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }

Question 66

Multiple Choice

Find fgf \circ g .
f(x) =x+4g(x) =3x216f ( x ) = x + 4 \quad g ( x ) = \frac { 3 } { x ^ { 2 } - 16 }


A) (fg) (x) =3x2( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } }
B) (fg) (x) =3x2+8x( f \circ g ) ( x ) = \frac { 3 } { x ^ { 2 } + 8 x }
C) (fg) (x) =4x21x216( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 1 } { x ^ { 2 } - 16 }
D) (fg) (x) =7x216( f \circ g ) ( x ) = \frac { 7 } { x ^ { 2 } - 16 }
E) (fg) (x) =4x261x216( f \circ g ) ( x ) = \frac { 4 x ^ { 2 } - 61 } { x ^ { 2 } - 16 }

Correct Answer:

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