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For the Given Functions F and G, Find the Requested f(x)=x;g(x)=5x8f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 8

Question 140

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- f(x) =x;g(x) =5x8f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 8
Find fg\frac { \mathrm { f } } { \mathrm { g } } .


A) (fg) (x) =5x8x;{xx0}\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 8 } { \sqrt { x } } ; \{ x \mid x \geq 0 \}
B) (fg) (x) =x5x8;{xx0,x85}\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \left\{ x \mid x \geq 0 , x \neq \frac { 8 } { 5 } \right\}
C) (fg) (x) =x5x8;{xx85}\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 8 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 8 } { 5 } \right\}
D) (fg) (x) =x5x8;{xx0}\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \{ x \mid x \neq 0 \}

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