SOLUTION: How would I verify P-1(P(450)) = 450. the orignal function is P(x)= 8.5x - 2500 and the inverse function is x+2500/8.5

Algebra ->  Rational-functions -> SOLUTION: How would I verify P-1(P(450)) = 450. the orignal function is P(x)= 8.5x - 2500 and the inverse function is x+2500/8.5      Log On


   



Question 408199: How would I verify P-1(P(450)) = 450.
the orignal function is P(x)= 8.5x - 2500
and the inverse function is x+2500/8.5

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We already know that P%5E%28-1%29+%28P%28450%29%29+=+450 since if you apply a function to some value x, then apply the inverse of the function, you will get x. It's basically the definition of an inverse function. Also, the function is one-to-one so there won't be any extraneous solutions.