The function `f(x) = 5x^3 + 10x^2 + 1` will have an inverse function for the domain
- `D = (-2, oo)`
- `D = (-oo , (1)/(2)]`
- `D = (-oo , –1]`
- `D = [0 , oo)`
Show Worked Solution
`y = 5x^3 + 10x^2 + 1`
`y^{′} = 15x^2 + 20x`
`y^{″}=30x+20`
`text(SP’s when)\ \ y^{′}=0\ \ =>\ \ x= – 4/3\ text{(max)}, \ 0\ text{(min)}`
`text(Sketch graph:)`
`=> \ D`