Question

If f(x) = 5-2x^3 and f^-1 denotes the inverse function of f, then f^-1(x)= ?

Please show all of your work! Thank-you!

Answer 1

`f(x)=5-2x^3\\ y=5-2x^3\\ 2x^3=-y+5\\ x^3=-(y-5)/(2)\\ x=\sqrt[3]{-(y-5)/(2)}=-\sqrt[3]{(y-5)/(2)}\\ f^(-1)(x)=-\sqrt[3]{(x-5)/(2)}`