Question

F (X) = 3(X-2) ^3 inverse

Answer 1

F^-1(X) = (X/3)^(1/3) + 2

Explanation:

The inverse of the function F(X) = 3(X-2)^3 is:

F^-1(X) = (X/3)^(1/3) + 2

This can be found by solving the equation F(X) = Y for X:

Y = 3(X-2)^3

(Y/3)^(1/3) = X-2

((Y/3)^(1/3)) + 2 = X

Therefore, the inverse function is F^-1(X) = (X/3)^(1/3) + 2.