Question

Find the inverse f(x) = 3х^2 - |

Answer 1

`f^(-1)`=
`(√(3(x+1)) )/(3)`

Explanation:

f(x) = 3
`x^(2)` - |

Let y= 3
`x^(2)`-1

Both side -1

y+1=3
`x^(2)`

`x^(2)`=
`(√(3(y+1)) )/(3)`

x=
`(√(3(y+1)) )/(3)`

`f^(-1)`=
`(√(3(x+1)) )/(3)`