Determine Whether the Given Function Is One-To-One $$f ( x ) = 6 x ^ { 3 } + 4$$

question 12

Multiple Choice

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
- $$f ( x ) = 6 x ^ { 3 } + 4$$

• A) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x - 4 } { 6 } }\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \frac { \mathrm { x } + 4 } { 6 } }\)
• C) Not a one-to-one function
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x } { 6 } } - 4\)

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