SOLUTION: show that f(x)=sqrt(x-1) and g(x)=x^2+1 are inverses

Question 1157688: show that f(x)=sqrt(x-1) and g(x)=x^2+1 are inverses
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
If and are inverses, than f(g(x))=x and g(f(x))=x . , which does not equal x. It equals , not x. Therefore, f(x) and g(x) are not inverses. However, if you restrict the domain of g to , then f and g are inverses.
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