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

question 12

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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Definitions:

Commodity

A basic asset deployed in commercial transactions that is exchangeable with other assets of the same classification.

Maximise

To maximize something to its utmost potential or level.

Input

The resources such as labor, materials, and capital used in the production process to produce output.

Profit

The financial surplus remaining after all expenses have been deducted from total revenue, indicative of the financial success of a business operation.