Answer:
[tex]P^{-1} (x)=\sqrt{\frac{x-1}{2} }[/tex]
Step-by-step explanation:
1. [tex]P(x)=2x^{2} +1[/tex]
2. [tex]y=2x^{2} +1[/tex]
3.[tex]x=2y^{2} +1[/tex]
4.[tex]2y^{2} =x-1[/tex]
5.[tex]y^{2} =\frac{x-1}{2}[/tex]
6.[tex]y=\sqrt{\frac{x-1}{2} }[/tex]
7.[tex]P^{-1} (x)=\sqrt{\frac{x-1}{2} }[/tex]
