Determine Whether the Function Is One-To-One $$f ( x ) = 5 - 4 x$$

question 46

Multiple Choice

Determine whether the function is one-to-one. If it is one-to-one find an equation or a set of ordered pairs that defines
the inverse function of the given function.
- $$f ( x ) = 5 - 4 x$$

• A) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 5 - 4 \mathrm { x } }\)
• B) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - \mathrm { x } + 5 } { 4 }\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 5 } { 4 }\)
• D) not one-to-one

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Definitions:

Diaphysis

The shaft or central part of a long bone, which is composed mainly of compact bone and contains the medullary cavity.

Epiphyses

The ends of long bones, where growth in length occurs during childhood and adolescence.

Long Bones

Bones that are longer than they are wide and serve as levers for movement, such as the femur.

Collagen Fibers

Strong, fibrous proteins found in connective tissues, providing structural support and elasticity to skin, tendons, and ligaments.