Answer:
[tex]y=+-\sqrt{\frac{x-2}{3}}[/tex]
Step-by-step 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:
[tex]f(x)=3x^2+2\\y=3x^2+2\\x=3y^2+2\\3y^2=x-2\\y^2=\frac{x-2}{3}\\y=+-\sqrt{\frac{x-2}{3}}[/tex]
