For the Given Functions F and G, Find the Requested $f ( x ) = \frac { 5 } { x - 1 } , \quad g ( x ) = \frac { 1 } { 6 x } ; \quad$

question 329

Multiple Choice

For the given functions f and g, find the requested composite function.
- $f ( x ) = \frac { 5 } { x - 1 } , \quad g ( x ) = \frac { 1 } { 6 x } ; \quad$ Find $( f \circ g ) ( x )$

• A) \(\frac { 5 x } { 1 - 6 x }\)
• B) \(\frac { 1 \mathrm { x } - 1 } { 30 \mathrm { x } }\)
• C) \(\frac { 30 x } { 1 + 6 x }\)
• D) \(\frac { 30 x } { 1 - 6 x }\)

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Definitions:

Total Product Curve

A graphical representation that shows the total quantity of output a firm produces, given a fixed amount of inputs, as the amount of one input varies.

Marginal Revenue Curve

A graphical representation showing the change in total revenue that results from selling one additional unit of a product or service.

Total Utility

The total satisfaction received from consuming a certain quantity of a good or service.

Substitution

The act of replacing one good or service with another in response to changes in price or preference, affecting consumer choices and market demand.