Decide Whether or Not the Functions Are Inverses of Each $$f ( x ) = 9 x ^ { 2 } + 9 , x \geq 0 ; \quad g ( x ) = \sqrt { \frac { x - 9 } { 9 } } , x \geq 9$$

question 428

Multiple Choice

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and g are inverses.
- $$f ( x ) = 9 x ^ { 2 } + 9 , x \geq 0 ; \quad g ( x ) = \sqrt { \frac { x - 9 } { 9 } } , x \geq 9$$

• A) No
• B) Yes

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Definitions:

Confining Pressure

Describes the pressure imposed on a layer of soil or rock by the weight of the material above it.

Tension

A force that stretches something by pulling on it, often applied to materials in physics to describe stretching that leads to elongation.

Reverse Faults

Faults where the hanging wall moves upward relative to the footwall, usually as a result of compression.

Normal Faults

Fractures in the Earth's crust where one block of rock moves down relative to another block due to tensional forces.