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.
your answer is correct.
for the restriction, the denominator cannot be zero, so x≠1
also the inside of the square root cannot be negative,
this will happen when -1 ≤ x ≤ +1
so the domain is x ≤ -1 OR x > 1
as x gets +large, the expression approaches 1
as x gets -large, the expression approaches -1
range: y >1 OR y < -1