The Function F Is One-To-One $$f ( x ) = ( x + 7 ) ^ { 3 }$$

question 56

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = ( x + 7 ) ^ { 3 }$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } } - 7\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } + 7\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } } - 7\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } } - 343\)

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Definitions:

Carbamates

A group of organic compounds used as insecticides, herbicides, or in pharmaceuticals, derived from carbamic acid.

Herbicides

Chemical substances used to control or kill unwanted plants (weeds), often used in agriculture and landscaping.

Systemic Chemicals

Chemical substances that are absorbed by an organism, affecting its entire system rather than a localized area, often used in plants to provide internal protection against pests.

Systemic Herbicides

Chemical substances used to kill unwanted plants, absorbed through the roots or foliage and transported throughout the plant to inhibit growth.