which equation is the inverse of y = 9x² - 4?\no y = ±√(x + 4)/9\no y = ±√(x/9 + 4)\no y = ±√(x + 4)/3\no y…
which equation is the inverse of y = 9x² - 4?\no y = ±√(x + 4)/9\no y = ±√(x/9 + 4)\no y = ±√(x + 4)/3\no y = ±√x/3 + 2/3
Answer
Explanation:
Step1: Swap x and y
$x = 9y^{2}-4$
Step2: Solve for y
$x + 4=9y^{2}$ $y^{2}=\frac{x + 4}{9}$ $y=\pm\frac{\sqrt{x + 4}}{3}$
Answer:
$y=\frac{\pm\sqrt{x + 4}}{3}$ (corresponding to the third - option in the multiple - choice list)