Find the Inverse Function $\mathrm { f } ^ { - 1 }$

question 112

Multiple Choice

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = 5 \tan ( 10 x - 9 )$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 5 \tan ^ { - 1 } ( 10 \mathrm { x } - 9 )\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 5 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 10 } \right) + 9 \right]\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 10 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 5 } \right) - 9 \right]\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 10 } \left[ \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 5 } \right) + 9 \right]\)

Identify the components of total cost at an output of zero.

Grasp the relationship between Marginal Cost (MC), Average Variable Cost (AVC), and Average Total Cost (ATC) curves.

Analyze the concept of diminishing returns and negative returns in production.

Calculate Average Total Cost (ATC), Average Variable Cost (AVC), and Marginal Cost (MC) from given data.

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