Find the Inverse of the One-To-One Function $$f ( x ) = 5 x + 7$$

question 17

Multiple Choice

Find the inverse of the one-to-one function.
- $$f ( x ) = 5 x + 7$$

• A) \(f ^ { - 1 } ( x ) = - \frac { x - 7 } { 5 }\)
• B) \(f ^ { - 1 } ( x ) = \frac { x - 7 } { 5 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 7 } { 5 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { \mathrm { x } + 5 } { 7 }\)

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Definitions:

Meat Powder

Finely ground meat used in classical conditioning experiments, notably by Ivan Pavlov, as a stimulus to elicit salivation in dogs.

Salivate

To salivate means to produce saliva, often in anticipation of food or in response to its presence, characterized by the physiological process of digestion.

Salivation in Dogs

An automatic response that occurs in dogs when they anticipate food, famously studied by Pavlov in his classical conditioning experiments.

Nobel Prize

A set of annual international awards bestowed in several categories by Swedish and Norwegian institutions in recognition of academic, cultural, or scientific advances.