Respuesta :

Sprnt

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].

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