SOLUTION: Hi, I have to decide whether or not the functions are inverses of each other. f(x)=(x-6)^2 , x>=6 g(x)=sqrt x and +6 (not the g(x)=sqrt x+6) Many Thanks!

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Hi, I have to decide whether or not the functions are inverses of each other. f(x)=(x-6)^2 , x>=6 g(x)=sqrt x and +6 (not the g(x)=sqrt x+6) Many Thanks!       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 85322: Hi, I have to decide whether or not the functions are inverses of each other.
f(x)=(x-6)^2 , x>=6
g(x)=sqrt x and +6
(not the g(x)=sqrt x+6)
Many Thanks!

Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
Check this out:
If f[g(x)] = x
and
If g[f(x)] = x
then f and g are inverse to one another.
----------
Cheers,
Stan H.