SOLUTION: find the inverse of the function {{{ f(x)= 3^log( 9, x ) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: find the inverse of the function {{{ f(x)= 3^log( 9, x ) }}}      Log On


   



Question 792473: find the inverse of the function +f%28x%29=+3%5Elog%28+9%2C+x+%29+
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=+3%5Elog%28+9%2C+x+%29+ is a fancy way of expressing +f%28x%29=+sqrt%28x%29

To figure out the inverse function, we switch the x and y, then solve for y:
The inverse of y=sqrt%28x%29 is given by
x=sqrt%28y%29 ---> highlight%28y=x%5E2%29