SOLUTION: Find f^-1(x) for the one-to-one function: f(x)= 1/(square-root x) What is the inverse? Thank you!

Algebra ->  Trigonometry-basics -> SOLUTION: Find f^-1(x) for the one-to-one function: f(x)= 1/(square-root x) What is the inverse? Thank you!      Log On


   

Question 864418: Find f^-1(x) for the one-to-one function:
f(x)= 1/(square-root x)
What is the inverse? Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find f^-1(x) for the one-to-one function:
f(x)= 1/(square-root x)
What is the inverse?
-------
1st: Interchange x and y::
x = 1/sqrt(y)
----
2nd: Solve for "y";
sqrt(y) = 1/x
y = (1/x)^2
---------------------------
That is the inverse.
Cheers,
Stan H.
----------------