Find the inverse of the function.

f (x) = 6x3 - 8

Replace f (x) fx with yy. y = 6 x3 - 8 y = 6 x3 - 8 Interchange the variables. x = 6 y3 - 8 x = 6 y3 - 8 Solve for yy.

y = 3 √ 36 (x+8) 6 y = 36 x+8 3 6 Solve for yy and replace with f - 1 (x) f - 1 x.

f - 1 (x) = 3 √ 36 (x+8) 6