which equation is the inverse of y = 2x² - 8?\no y = ±√((x + 8)/2)\no y = (±√(x + 8))/2\no y = ±√(x/2 +…

which equation is the inverse of y = 2x² - 8?\no y = ±√((x + 8)/2)\no y = (±√(x + 8))/2\no y = ±√(x/2 + 8)\no y = (±√x)/2 + 4

which equation is the inverse of y = 2x² - 8?\no y = ±√((x + 8)/2)\no y = (±√(x + 8))/2\no y = ±√(x/2 + 8)\no y = (±√x)/2 + 4

Answer

Explanation:

Step1: Swap x and y

$x = 2y^{2}-8$

Step2: Solve for y

First, add 8 to both sides: $x + 8=2y^{2}$. Then divide both sides by 2: $\frac{x + 8}{2}=y^{2}$. Take the square - root of both sides: $y=\pm\sqrt{\frac{x + 8}{2}}$

Answer:

$y=\pm\sqrt{\frac{x + 8}{2}}$