SOLUTION: The following function is​ one-to-one. Find the inverse of the function and graph the function and its inverse on the same set of axes. f(x)=x^3-5 f^-1(x)= ???? there

Algebra ->  Inverses -> SOLUTION: The following function is​ one-to-one. Find the inverse of the function and graph the function and its inverse on the same set of axes. f(x)=x^3-5 f^-1(x)= ???? there       Log On


   

Question 1099989: The following function is​ one-to-one. Find the inverse of the function and graph the function and its inverse on the same set of axes. f(x)=x^3-5
f^-1(x)= ????
there will be graph that has 2 separate lines.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The following function is​ one-to-one. Find the inverse of the function and graph the function and its inverse on the same set of axes. f(x)=x^3-5
f^-1(x)= ????
Write is
y = x^3 - 5
find the inverse; swap x and y and solve for y
y^3 - 5 = x
y^3 = x + 5
y = (x+5)^(1/3)
Graphically
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-5%2C+%28x%2B5%29%5E%281%2F3%29%29+
:
The display is not accurate, but it is symmetrical on my Ti83