Answer:
[tex]f^{-1} (x)=\sqrt{\frac{x}{14}}[/tex].
Step-by-step explanation:
1. Write the expression.
[tex]y=14x^2[/tex]
2. Substitute y for x, and x for y.
[tex]x=14y^{2}[/tex]
3. Solve for y.
[tex]14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}[/tex]
4. Express your result.
[tex]f^{-1} (x)=\sqrt{\frac{x}{14}}[/tex].
