Question

F(x)=4x^2-1 what is the inverse

Answer 1

Let
`y = F^(-1)(x)` and
`F(y) = x`

`4y^2 - 1 = x\\4y^2 = x + 1\\y^2 = (x + 1)/(4)\\y = \sqrt{(x + 1)/(4)}\\f^(-1) = \sqrt{(x + 1)/(4)}`