Math

posted by .

Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x-1).

My Answer:
sqr(x+1)/sqr( x-1)
sqr(x^2-1)/ (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.

  • Math -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra2/Trig

    sqr(x^2-4)+(x^2)/x^2+1 I got ((x^2+1)*sqr(x^2-4)+x^2)/x^2+1 But my teacher gave (sqr(x^2-4)+x^2)/x^2+1 I did the problem over again but I can't figure out why my teacher got the answer. Can someone confirm that my teacher is right …
  2. algebra 1

    1 over 2 sqr 32 times sqr 2 simplify the expression
  3. algebra 1

    sqr 10 times sqr 16 over sqr 5
  4. Math

    Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x-1). My Answer: sqr(x+1)/sqr( x-1) sqr(x^2-1)/ (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 …
  5. Math

    Perform the indicated operations and simplify i^37 sqr-12 x sqr-15
  6. geometry

    Rays PQ and QR are perpindicular. Point S lies i the interior of angle PQR. If the measure of the angle SQR=4+7a and the measure of angle SQR=9=4a, find the measure of angle of PQS and angle SQR.
  7. TRIG

    Given that tanx = 1/sqr(15) and secx -4/sqr(15) find the value of sinx
  8. math

    I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = -2/3, which of the following are possible?
  9. Geometry

    Find the area of a hexagon with the indicated apothem: 6 sqr root 3 108 sqr root 3 in.^2 432 sqr root 3 in.^2 96 sqr root 3 in.^2 216 sqr root 3 in.^2 Last question, don't know. Please help?
  10. Maths

    Find in sqr meters,the area of a sqr of side 16.5 dam

More Similar Questions