Answer to Question #172378 in Algebra for william

Question

Show step by step:

1. In Desmos, find the inverse algebraically y= 1/2(x-2)³
2. Then graph the inverse in DESMOS and compare

Answer 1

1. We receive: $2y=(x-2)^3$ and, respectively, $(2y)^{1/3}+2=x$
2. We obtained that the inverse of $y$ is: $x=(2y)^{(1/3)}+2$ . The graph of the function can found below:

All calculations were checked in Desmos on the page https://www.desmos.com/calculator?lang=ru The graph was also made on that page.