SOLUTION: f(x) = (1)/(x+10) f^(-1)(x) =

Algebra ->  Functions -> SOLUTION: f(x) = (1)/(x+10) f^(-1)(x) =       Log On


   

Question 976199: f(x) = (1)/(x+10)
f^(-1)(x) =
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+%281%29%2F%28x%2B10%29+
to find inverse f%5E%28-1%29%28x%29, first recall that f%28x%29+=y; so, substitute it in f%28x%29+=+%281%29%2F%28x%2B10%29+
y+=+%281%29%2F%28x%2B10%29+ ...now swap x and y
x+=+%281%29%2F%28y%2B10%29+....solve for y
x%2A%28y%2B10%29++=+1
y%2B10++=+1%2Fx
y+=+1%2Fx-10
so, your inverse is:
f%5E%28-1%29%28x%29+=+1%2Fx-10

here is a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x%2B10%29%2C+1%2Fx-10%29+