$$\text { Find the function } f \circ g \text { and its domain if } f ( x ) = \frac { x - 1 } { x } \text { and } g ( x ) = \frac { x } { x + 3 } \text {. }$$

Name: \[\text { Find the function } f \circ g \text { and its domain if } f ( x ) = \frac { x - 1 } { x } \text { and } g ( x ) = \frac { x } { x + 3 } \text {. }\]
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The Answer of $$\text { Find the function } f \circ g \text { and its domain if } f ( x ) = \frac { x - 1 } { x } \text { and } g ( x ) = \frac { x } { x + 3 } \text {. }$$