turkey-yks 2011 Q20

turkey-yks · Other · ygs Composite & Inverse Functions Find or Apply an Inverse Function Formula

The following functions are given:
$f(x) = 3x - 6$
$g(x) = (x - 2)^{2}$
Accordingly, $\left(g \circ f^{-1}\right)(x)$ is equal to which of the following?
A) $\frac{3x^{2}}{2} - 1$ B) $(3x + 4)^{2}$ C) $x^{2} - 4x + 2$ D) $\frac{x^{2}}{9}$ E) $(3x - 8)^{2}$

The following functions are given:

$f(x) = 3x - 6$

$g(x) = (x - 2)^{2}$

Accordingly, $\left(g \circ f^{-1}\right)(x)$ is equal to which of the following?

A) $\frac{3x^{2}}{2} - 1$
B) $(3x + 4)^{2}$
C) $x^{2} - 4x + 2$
D) $\frac{x^{2}}{9}$
E) $(3x - 8)^{2}$

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