SOLUTION: Consider the functions f and g defined by f(x)=sqrt((x+1)/(x-1)) and g(x)=sqrt(x+1)/sqrt(x-1). Explain why f and g are not the same function.

Algebra ->  Finance -> SOLUTION: Consider the functions f and g defined by f(x)=sqrt((x+1)/(x-1)) and g(x)=sqrt(x+1)/sqrt(x-1). Explain why f and g are not the same function.      Log On


   

Question 1089067: Consider the functions f and g defined by f(x)=sqrt((x+1)/(x-1)) and g(x)=sqrt(x+1)/sqrt(x-1).
Explain why f and g are not the same function.
Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.
For function f(x) the domain is (-infinity,-1) U (1,infinity).

For function g(x) the domain is (1,infinity).


====> the two function have different domains.