SOLUTION: Hi, I need some help deciding if these functions are inverses of each other. thank you! f(x)=(x-6)^2, x>=6 ; g(x)=sqrt x and + 6 (not sqrt x+6)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi, I need some help deciding if these functions are inverses of each other. thank you! f(x)=(x-6)^2, x>=6 ; g(x)=sqrt x and + 6 (not sqrt x+6)      Log On


   

Question 85307: Hi, I need some help deciding if these functions are inverses of each other. thank you! f(x)=(x-6)^2, x>=6 ; g(x)=sqrt x and + 6 (not sqrt x+6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x-6%29%5E2 Start with the given function

x=%28f%28x%29-6%29%5E2 Switch variables f(x) and x.
Now the goal to find the inverse is to solve for f(x)

sqrt%28x%29=f%28x%29-6 Take the square root of both sides

sqrt%28x%29%2B6=f%28x%29 Add 6 to both sides

So the inverse of f%28x%29=%28x-6%29%5E2 is f%28x%29=sqrt%28x%29%2B6