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For the Given Functions F and G, Find the Requested f(x)=4x+5;g(x)=6x1;f ( x ) = 4 x + 5 ; g ( x ) = 6 x - 1 ; \quad

Question 225

Multiple Choice

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
- f(x) =4x+5;g(x) =6x1;f ( x ) = 4 x + 5 ; g ( x ) = 6 x - 1 ; \quad Find fg\frac { f } { g }


A) (fg) (x) =4x+56x1;(,16) (16,) \left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 4 \mathrm { x } + 5 } { 6 \mathrm { x } - 1 } ; \left( \infty , \frac { 1 } { 6 } \right) \cup \left( \frac { 1 } { 6 } , \infty \right)
B) (fg) (x) =6x14x+5;(,16) (16,) \left( \frac { f } { g } \right) ( x ) = \frac { 6 x - 1 } { 4 x + 5 } ; \left( \infty , \frac { 1 } { 6 } \right) \cup \left( \frac { 1 } { 6 } , \infty \right)
C) (fg) (x) =6x14x+5;(,54) (54,) \left( \frac { f } { g } \right) ( x ) = \frac { 6 x - 1 } { 4 x + 5 } ; \left( \infty , - \frac { 5 } { 4 } \right) \cup \left( - \frac { 5 } { 4 } , \infty \right)
D) (fg) (x) =4x+56x1;(,54) (54,) \left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 4 \mathrm { x } + 5 } { 6 \mathrm { x } - 1 } ; \left( \infty , - \frac { 5 } { 4 } \right) \cup \left( - \frac { 5 } { 4 } , \infty \right)

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