​Find $g \circ f$ And the Domain of the Composite Function $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$

question 51

Multiple Choice

​Find $g \circ f$ and the domain of the composite function.​ $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$ ​

• A) \(\frac { 1 } { x + 5 }\) Domain of \(g \circ f\) : all real numbers x except \(x = - 5\)
• B) \(\frac { 1 } { x } - 5\) Domain of \(g \circ f\) : all real numbers x except \(x = 0\)
• C) \(\frac { 1 } { x } + 5\) Domain of \(g \circ f\) : all real numbers x except \(x = 0\)
• D) \(- \frac { 1 } { x + 5 }\) Domain of \(g \circ f\) : all real numbers x except \(x = - 3\)
• E) \(\frac { 1 } { x - 5 }\) Domain of \(g \circ f\) : all real numbers x except \(x = 5\)

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