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Find the Specified Domain (fg)(x)\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )

Question 56

Multiple Choice

Find the specified domain.
-Find the domain of (fg) (x) \left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) when f(x) =2x5\mathrm { f } ( \mathrm { x } ) = 2 \mathrm { x } - 5 and g(x) =2x7g ( x ) = \frac { 2 } { \mathrm { x } - 7 }


A) (,) ( - \infty , \infty )
B) (,52) (52,7) (7,) \left( - \infty , \frac { 5 } { 2 } \right) \cup \left( \frac { 5 } { 2 } , 7 \right) \cup ( 7 , \infty )
C) (,7) (7,) ( - \infty , 7 ) \cup ( 7 , \infty )
D) (,7) (7,) ( - \infty , - 7 ) \cup ( - 7 , \infty )

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