Given F(x) and G(x), Find the Indicated Composition and State $f ( x ) = \frac { 1 } { x - 7 }$

question 58

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
-For $f ( x ) = \frac { 1 } { x - 7 }$ and $g ( x ) = \frac { 9 } { x }$ , what is the domain of $f \circ g$ ?

• A) \(\left( 0 , \frac { 9 } { 7 } \right) \cup \left( \frac { 9 } { 7 } , \infty \right)\)
• B) \(( - \infty , 0 ) \cup ( 0,7 ) \cup ( 7 , \infty )\)
• C) \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) \(( - \infty , 0 ) \cup \left( 0 , \frac { 9 } { 7 } \right) \cup \left( \frac { 9 } { 7 } , \infty \right)\)

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