Answer :
Answer:
[tex]f^{-1}(x)=(x-16)^3[/tex]Explanation:
to find the inverse function, we have to solve for x.
First we subtract 16 from both sides to get
[tex]f(x)-16=\sqrt[3]{x}[/tex]Then raising both sides to the power of 3 gives
[tex](f(x)-16)^3=(\sqrt[3]{x})^3[/tex][tex]x=(f(x)-16)^3[/tex]The above we can write as
[tex]f^{-1}(^{}x)=(x-16)^3[/tex]because we have solved for x ( thus it has become an inverse function) which is now a function of what was previously f(x).