Answer
$D$
Work Step by Step
Divide the function $g(x)$ by the function $h(x)$:
$\left(\frac{g}{h}\right)(x)=\dfrac{x^2 - 4}{4x - 6}$
Factor the numerator and denominator completely:
$\left(\frac{g}{h}\right)(x)=\dfrac{(x - 2)(x + 2)}{2(2x - 3)}$
This solution corresponds to option $D$.
