The Function F Is One-To-One $$f ( x ) = 5 x ^ { 2 } - 3 , x \geq 0$$

question 204

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = 5 x ^ { 2 } - 3 , x \geq 0$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \frac { \mathrm { x } + 3 } { 5 } }\)
• B) \(f ^ { - 1 } ( x ) = \sqrt { \frac { 5 } { x + 3 } }\)
• C) \(f ^ { - 1 } ( x ) = \frac { 5 } { \sqrt { x } + 3 }\)
• D) \(f ^ { - 1 } ( x ) = - \sqrt { \frac { x + 3 } { 5 } }\)

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Definitions:

Hierarchical Classification

A system of organization where entities are arranged in a graded order from broad to specific categories, often used in biology to classify organisms.

Seriation

The cognitive ability to arrange objects in order according to size, shape, or any other attribute.

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A stage in Piaget's theory of cognitive development where children (approximately 7 to 12 years old) can think logically about concrete events.

Tangible Objects

Items that can be perceived through the sense of touch, having physical presence and form.