Posted by Ed on Thursday, September 23, 2010 at 3:09pm.
Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x1).
My Answer:
sqr(x+1)/sqr( x1)
sqr(x^21)/ (x1)
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.

Math  MathMate, Thursday, September 23, 2010 at 5:26pm
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
Dom(f(x))∩Dom(g(x))
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:
Dom(f(x)/g(x))
= Dom(f(x))∩Dom(g(x){x:g(x)=0}
Note that:
Dom(√(x+1))
= [1,∞]
Dom(√(x1))
= [1,∞]
So
Dom(f(x)∩g(x))=[1,∞]
g(x)=0 when x=1, this has to be removed.
Therefore
Dom(f(x)/g(x))
=(1,∞)
Answer This Question
Related Questions
 Math  Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x1). My ...
 math  I have a question I have been working on since yesterday and I am not ...
 Geometry  Find the area of a hexagon with the indicated apothem: 6 sqr root 3 ...
 Algebra2/Trig  sqr(x^24)+(x^2)/x^2+1 I got ((x^2+1)*sqr(x^24)+x^2)/x^2+1 But ...
 algebra 1  sqr 10 times sqr 16 over sqr 5
 TRIG  Given that tanx = 1/sqr(15) and secx 4/sqr(15) find the value of sinx
 Maths  Find in sqr meters,the area of a sqr of side 16.5 dam
 Math  Perform the indicated operations and simplify i^37 sqr12 x sqr15
 geometry  Rays PQ and QR are perpindicular. Point S lies i the interior of ...
 algebra 1  1 over 2 sqr 32 times sqr 2 simplify the expression
More Related Questions