Determine Whether the Functions F and G Are Inverses of Each

question 302

True/False

Determine whether the functions f and g are inverses of each other.
- $f ( x ) = ( x + 8 ) ^ { 3 } + 7 ; g ( x ) = \sqrt [ 3 ] { x - 7 } + 8$

---

Definitions:

Marginal Cost Curve

A graphical representation showing how the cost of producing one more unit of a good varies as the production quantity changes.

Profit-maximizing

The process or goal of increasing a firm's profits to the highest possible level by adjusting output and pricing strategies.

Marginal Revenue Product

Additional income derived from the employment of an extra production factor.

Diminishing Marginal Returns

A principle stating that if one factor of production is increased while others remain constant, the overall returns will eventually decrease after a certain point.