posted by Ed on .
Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x-1).
However, I also have to state the restrictions to the domain and range, which I do not know how to do. Could someone please help me? Thanks.
If Dom(f(x))=domain of f(x), and
Dom(g(x))=domain of g(x), the domain of f(x)/g(x) is the intersection
However,by the definition of the quotient function, g(x) ≠ 0, therefore, we have to remove the members where g(x)=0 to get the final version:
g(x)=0 when x=1, this has to be removed.