Question

Inverse of y=14x2 show derivations

Answer 1

Answer:

$f^{-1} (x)=\sqrt{\frac{x}{14}}$.

Step-by-step explanation:

1. Write the expression.

$y=14x^2$

2. Substitute y for x, and x for y.

$x=14y^{2}$

3. Solve for y.

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

4. Express your result.

$f^{-1} (x)=\sqrt{\frac{x}{14}}$.