Answer:
The inverse is ±sqrt((x+4)/9)
Explanation:
y = 9x^2 – 4
We want to find the inverse
Exchange x and y
x = 9y^2 -4
Solve for y
Add 4 to each side
x+4 = 9y^2 -4+4
x+4 = 9y^2
Divide each side by 9
(x+4)/9 = 9/9y^2
(x+4)/9 = y^2
Take the square root of each side
±sqrt((x+4)/9) = sqrt(y^2)
±sqrt((x+4)/9) = y
The inverse is ±sqrt((x+4)/9)