Question

Which function is the inverse of g(x) =
`((x-1)^(3) )/(2) -3`?

Answer 1

third option

Explanation:

let g(x)=y

(x-1)³/2-3=y

(x-1)³/2-3/1=y

(x-1)³-6/2=y

(x-1)³-6=2y

(x-1)³=2y+6(find cubic root of both sides)

(x-1)=³√(2y+6)

x=³√(2y+6)+1

Replace y with g for the inverse

g^-1(x)=³√(2x+6)+1