Find the Inverse of the Function $$f ( x ) = \frac { 1 + 8 x } { 8 - 5 x }$$

Multiple Choice

Find the inverse of the function.
$$f ( x ) = \frac { 1 + 8 x } { 8 - 5 x }$$

A) $f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { x + 8 }$
B) $f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { 5 x + 8 }$
C) $f ^ { - 1 } ( x ) = \frac { x - 1 } { 5 x + 8 }$
D) $f ^ { - 1 } ( x ) = \frac { 8 x - 1 } { 8 x + 5 }$
E) $f ^ { - 1 } ( x ) = \frac { 5 x - 1 } { 5 x + 8 }$