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

question 157

Multiple Choice

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

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

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