Question

Inverse of y=14x2 show derivations

Answer 1

`f^(-1) (x)=\sqrt{(x)/(14)}`.

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) =(x)/(14) \\ \\y=\sqrt{(x)/(14)}`

4. Express your result.

`f^(-1) (x)=\sqrt{(x)/(14)}`.