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For the Given Functions F and G, Find the Requested f(x)=x23x3;g(x)=x5f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quad

Question 157

Multiple Choice

For the given functions f and g, find the requested function.
- f(x) =x23x3;g(x) =x5f ( x ) = x ^ { 2 } - 3 \sqrt [ 3 ] { x } ; g ( x ) = x - 5 \quad Find (fg) (x) \left( \frac { f } { g } \right) ( x )


A) (fg) (x) =x35x23xx3+15x3\left( \frac { f } { g } \right) ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 3 x \sqrt [ 3 ] { x } + 15 \sqrt [ 3 ] { x }
B) (fg) (x) =x23x3x5\left( \frac { f } { g } \right) ( x ) = \frac { x ^ { 2 } - 3 \sqrt [ 3 ] { x } } { x - 5 } , where x0x \neq 0
C) (fg) (x) =x23x3x5\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } - 3 \sqrt [ 3 ] { \mathrm { x } } } { \mathrm { x } - 5 } , where x5x \neq 5
D) (fg) (x) =x23x3x5\left( \frac { f } { g } \right) ( x ) = \frac { x ^ { 2 } - 3 \sqrt [ 3 ] { x } } { x - 5 } , where x5x \neq - 5

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