Find F(x) and G(x) So That the Function Can Be $$y = \frac { 7 } { x ^ { 2 } } + 9$$

question 319

Multiple Choice

Find f(x) and g(x) so that the function can be described as y = f(g(x) ) .
- $$y = \frac { 7 } { x ^ { 2 } } + 9$$

• A) \(f ( x ) = x , g ( x ) = \frac { 7 } { x } + 9\)
• B) \(f ( x ) = \frac { 7 } { x ^ { 2 } } , g ( x ) = 9\)
• C) \(f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 7 } { x } + 9\)
• D) \(f ( x ) = x + 9 , g ( x ) = \frac { 7 } { x ^ { 2 } }\)

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Definitions:

Competitive Firms

Companies that operate in a market where there are many buyers and sellers, and they have no control over the market price of their product.

Marginal Product

The additional output generated by adding one more unit of a specific input, holding all other inputs constant.

Profit-maximizing

A strategy or approach aimed at achieving the highest possible profit from business operations, often through cost management and optimal pricing.

Competitive Firm

A Competitive Firm is a company that operates in a market where it must set its price equal to the market price due to the presence of many competitors, with no single firm able to influence market conditions.