Find the Inverse of the Function and Express It Using $f ^ { - 1 } ( x )$

Find the inverse of the function and express it using $f ^ { - 1 } ( x )$ notation. $f ( x ) = 4 x ^ { 3 } - 2$

A) $f ^ { - 1 } ( x ) = \sqrt { \frac { x + 2 } { 4 } }$
B) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x + 4 } { 2 } }$
C) $f ^ { - 1 } ( x ) = \left( \frac { x + 2 } { 4 } \right) ^ { 3 }$
D) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x + 2 } { 4 } }$
E) $f ^ { - 1 } ( x ) = \left( \frac { x + 4 } { 2 } \right) ^ { 3 }$

Correct Answer:

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