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)

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)

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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) (Show Source): You can put this solution on YOUR website!
Start with the given function

Switch variables f(x) and x.
Now the goal to find the inverse is to solve for f(x)

Take the square root of both sides

Add 6 to both sides

So the inverse of is
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