Question

$$y=g(x)=\underline{4x+3}; x^{2}-3x+2$$

Solve for x

$x=\frac{2^{\frac{2}{3}}\sqrt[3]{\sqrt{17}+7}}{4}+\frac{2^{\frac{2}{3}}\sqrt[3]{7-\sqrt{17}}}{4}+1$
$y=2^{\frac{5}{3}}\sqrt[3]{\sqrt{17}+7}+2^{\frac{5}{3}}\sqrt[3]{7-\sqrt{17}}+8$

Solve for y

$y=2^{\frac{5}{3}}\sqrt[3]{\sqrt{17}+7}+2^{\frac{5}{3}}\sqrt[3]{7-\sqrt{17}}+8$
$x=\sqrt[3]{\frac{\sqrt{17}+7}{16}}+\sqrt[3]{\frac{7-\sqrt{17}}{16}}+1$