Question

Given g(x)=3/x^2+2x find g^-1(x)

Answer 1

Answer:

A

Step-by-step explanation:

$g(x) = \frac{3}{{x}^{2} + 2x} \\ {x}^{2} + 2x - \frac{3}{g(x)} = 0 \\ x = \frac{1}{2} \Big( - 2 + \sqrt{12 + \frac{12}{g(x)} }\Big) \\ x = - 1 + \sqrt{1 \pm \frac{3}{g(x)} }$

Now replace $x$ by $g^{-1}(x)$ and $g(x)$ by $x$ and you have your answer.