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

question 175

Multiple Choice

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

• A) \(f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x - 5 ) - 9\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \cos ^ { - 1 } ( \mathrm { x } + 5 ) + 9\)
• C) \(f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x + 9 ) + 5\)
• D) \(f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x - 9 ) - 5\)

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Definitions:

Hindbrain

The posterior part of the brain that includes the cerebellum, pons, and medulla oblongata, responsible for regulating basic life functions like breathing and heart rate.

Thalamus

A brain structure acting as a relay station for sensory and motor signals to the cerebral cortex, excluding the sense of smell.

Relay Information

The process of transmitting information or messages from one person, device, or group to another.