Determine Whether the Function Has an Inverse Function $g ^ { - 1 } ( x ) = \frac { 7 } { x }$

question 397

Multiple Choice

Determine whether the function has an inverse function.If it does, find the inverse function.
G(x) = x⁷

• A) \(g ^ { - 1 } ( x ) = \frac { 7 } { x }\)
• B)g^-1(x) = -7x
• C) \(g ^ { - 1 } ( x ) = - \frac { x } { 7 }\)
• D)g^-1(x) = 7x
• E)The inverse exists, but none of the above

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Definitions:

Marginal Product

The increase in output resulting from a one-unit increase in the use of a particular input, while holding other inputs constant.

Average Product

The output produced, on average, by each unit of a variable input, such as labor or capital, in the production process.

Total Product

Total product refers to the total quantity of output that a firm produces over a given period, typically in relation to varying levels of input.

Marginal Product

The additional output resulting from the use of one more unit of a production factor.