Question

Find the inverse of the fucntion f(x) = 3x2 + 2.

Answer 1

`y=+-\sqrt{(x-2)/(3)}`

Explanation:

To find inverse, we follow the steps below:

1. change f(x) in y

2. Interchange x and y

3. Solve for new y

Lets do this on the function and find its inverse:

`f(x)=3x^2+2\\y=3x^2+2\\x=3y^2+2\\3y^2=x-2\\y^2=(x-2)/(3)\\y=+-\sqrt{(x-2)/(3)}`