Question

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

Answer 1

The inverse is ±sqrt(x/6)

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)