## Algebra and Trigonometry 10th Edition

$y={(\frac{x}{3})}^\frac{2}{3}$, x $\geq$ 0
Apply the horizontal line test to check that the function has an inverse. Find the inverse. $y=3x\sqrt x$ $x=3y\sqrt y$ (Interchange x and y, also x $\geq$ 0) $x^2=9y^3$ $y={(\frac{x}{3})}^\frac{2}{3}$, x $\geq$ 0