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)=2x-1 f^-1(x)=

Algebra ->  Graphs -> 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)=2x-1 f^-1(x)=      Log On


   

Question 440054: 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)=2x-1
f^-1(x)=
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Replace x by f%5E%28-1%29%28x%29
==> f%28f%5E%28-1%29%28x%29%29+=+2%2Af%5E%28-1%29%28x%29+-+1
<==> x+=+2%2Af%5E%28-1%29%28x%29+-+1
==> f%5E%28-1%29%28x%29+=+%28x%2B1%29%2F2
graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%28x+%2B1%29%2F2%2C+2x-1+%29