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# Composition of Functions - $f(x) = \frac { 2 }{ 3 } x-6$

ACTMAT-NG4JQK

If:

$$f(x) = \frac { 2 }{ 3 } x-6$$

...and $f(g(x)) = x$, then which of the following is $g(x)$?

A

$\cfrac { 2 }{ 3 } -\cfrac { 6 }{ x }$

B

$\cfrac { 2 }{ 3 } -6x$

C

$\cfrac { 3 }{ 2 } x+6$

D

$\cfrac { 3 }{ 2 } x-9$

E

$-\cfrac { 3 }{ 2 } x+6$