Question

Find the inverse of the given function and use composition to justify the results: h(x)=(x-4)^3

Answer 1

to "justify your answer" compose
\[f\circ f^{-1}(x)\] and arrive at \(f\circ f^{-1}(x)=x\) by algebra

Answer 2

Were did you get the 3 from?

Answer 3

the three came from me not paying sufficient attention
it is
\[f^{-1}(x)=\sqrt[3]{x}+4\] sorry about that

Answer 4

\[y=(x-4)^4\]
\[x=(y-4)^3\]
\[\sqrt[3]{x}=y-4\]
\[\sqrt[3]{x}+4=y\]
\[f^{-1}(x)=\sqrt[3]{x}+4\] looks a lot better

Answer 5

Thanks