F (x) = 6x^2 find the inverse

The inverse is ±sqrt (x/6)

Step-by-step explanation:

Let y = 6x^2

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 6y^2

Solve for y

Divide each side by 6

x/6 = 6y^2 / 6

x/6 = y^2

Take the square root of each side

±sqrt (x/6) = sqrt (y^2)

±sqrt (x/6) = y

The inverse is ±sqrt (x/6)