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

Question 76

Multiple Choice

Find the specified domain.
-Find the domain of (fg) (x) \left( \frac { f } { g } \right) ( x ) when f(x) =2x−6f ( x ) = 2 x - 6 and g(x) =7x−2g ( x ) = 7 x - 2


A) (∞,27) ∪(27,∞) \left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , \infty \right)
B) (−∞,3) ∪(3,∞) ( - \infty , 3 ) \cup ( 3 , \infty )
C) (−∞,∞) ( - \infty , \infty )
D) (∞,27) ∪(27,3) ∪(3,∞) \left( \infty , \frac { 2 } { 7 } \right) \cup \left( \frac { 2 } { 7 } , 3 \right) \cup ( 3 , \infty )

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