SOLUTION: Please help with this. I need to graph the function and its inverse on the same coordinate system. Y = 3 index radicand x thanks so much

Algebra ->  Rational-functions -> SOLUTION: Please help with this. I need to graph the function and its inverse on the same coordinate system. Y = 3 index radicand x thanks so much      Log On


   

Question 544727: Please help with this. I need to graph the function and its inverse on the same coordinate system.
Y = 3 index radicand x
thanks so much
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
y=root%283%2Cx%29 is the original function
y=root%283%2Cx%29 <---> y%5E3=x
To find the inverse function we swap x for y
x%5E3=y
+graph%28+300%2C+300%2C+-1%2C+9%2C+-1%2C+9%2Cx%5E%281%2F3%29%2C%0D%0Ax%5E3%29+ Both functions have the set iof real numbers for domain and range.
(I just could not get y=root%283%2Cx%29 (red function) to plot for negative x values).
They are each other's reflection on the y=x diagonal line.