SOLUTION: 1. )what is the inverse equation to A=f(r)= (pi)r^2 , r is >or= 0 ? 2.) solve: f(g(x)) using f(x)=3x-1 and g(x)=1-x^2

Algebra ->  Inverses -> SOLUTION: 1. )what is the inverse equation to A=f(r)= (pi)r^2 , r is >or= 0 ? 2.) solve: f(g(x)) using f(x)=3x-1 and g(x)=1-x^2      Log On


   

Question 709347: 1. )what is the inverse equation to A=f(r)= (pi)r^2 , r is >or= 0 ?
2.) solve: f(g(x)) using f(x)=3x-1 and g(x)=1-x^2
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
#1, Inverse of f(r)= (pi)r^2

g(r) new function.
g%28f%28r%29%29=g%28%28pi%2Ar%5E2%29%29%7D++and+%7B%7B%7Bg%28%28pi%2Ar%5E2%29%29=r
Also f(g(r))=%28pi%29%2Ag%28r%29%2Ag%28r%29=r
or more simply, %28pi%29%2A%28g%28r%29%29%5E2=r

That last equation can be solved for g(r),... and there be the inverse of f(r).