Answer to Question #42281 in Calculus for shasha

Question

Find the inverse of the function.

f(x) = 6x3 - 3

Answer 1

To find the inverse function we should express the x from this expression
So we get
f(x)=6x³-3
f(x)+3=6x³
x³=(f(x)+3)/6
x=((f(x)+3)/6)^1/3
Therefore we get
f^-1(y)=((y+3)/6)^1/3