A One-To-One Function Is Given $$f ( x ) = \frac { x + 8 } { x + 6 }$$

question 48

Multiple Choice

A one-to-one function is given. Write an expression for the inverse function.
- $$f ( x ) = \frac { x + 8 } { x + 6 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { x - 6 } { x - 8 }\)
• B) \(f ^ { - 1 } ( x ) = \frac { x + 6 } { x + 8 }\)
• C) \(f ^ { - 1 } ( x ) = \frac { 8 + 6 x } { x + 1 }\)
• D) \(f ^ { - 1 } ( x ) = \frac { 8 - 6 x } { x - 1 }\)

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Definitions:

Array

A collection of elements, typically of the same type, stored in contiguous memory locations and accessible via indexing.

Vector

In Java, a synchronized dynamic array that provides methods to dynamically store and access data.

IndexOf

A method used to determine the position of a specific element or value within a list or array.

Class Vector

A dynamic array class in the C++ Standard Template Library that allows elements to be accessed using an index.