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.

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.

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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(52794) (Show Source): You can put this solution on YOUR website!
.
For function f(x) the domain is (,) U (,).

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

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

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