# Math

posted by .

• Math -

If you meant
(x^3+1)/(x^2-1)
then if x = -1, your expression becomes 0/0 which is "indeterminate".
notice that (x^3+1)/(x^2-1)
= (x+1)(x^2 + x + 1)/((x+1)(x-1))
= (x^2 + x + 1)/(x-1)

I don't know if you know anything about limits, but
the limit of the above , as x --> - 1
= (1 - 1 + 1)/(-2) = -1/2

There are actually no zeros for this graph,
as
http://www.wolframalpha.com/input/?i=%28x%5E3%2B1%29%2F%28x%5E2-1%29
will show you.
the expression actually reduces to
y = (x^2 + x + 1)/(x-1) , which has a vertical asymptote at x=1

the original function
y = (x^3 + 1)(/(x^2-1) looks exactly the same except it would have a "hole" or missing point at (-1, -1/2)

• Math -

Thank u so much!

## Similar Questions

1. ### maths

how do i solve this equation? there is another answer other than 0, but i am not sure how to get it. 5x^2 + 7x =0 factor the term: x(5x+7)=0 Either term can be zero. You found the x=0, what value of x makes 5x+7 zero?
2. ### math,correction,plz

Can someone who has a few minutes could you please correct this for me.thank you. Directions: Find the x-intercepts of y= x^2+x-6 My answer: there are two x-intercepts ( (1-sqrt25)/(2),0) and ((1+sqrt25)/(2),0 x^2+x-6= (x+3)(x-2) how …
3. ### Calculus--> bobpursley

How do you get m=0? from taking the second derivative?
4. ### math,correction

can someone correct this for me parts A-E and if i am wrong can you help me....please How many 7-digit telephone numbers are possible if the first digit cannot be zero and..... a) only odd digits may be used?
5. ### math,correction, bobpursly

Since when is 5^7 =8125? if a number is a multple of ten, that means the last digit is zero. The leading digit cannot be zero. 9*10^5*1 on c, again, the leading digit cannot be zero. d is right e. no leading zero is allowed. 9*9*8*7*6*5*4=

if the product of two whole numbers is zero, then one of the factors is zero. To what axiom does this refer?
7. ### Math

ok so i'm kinda sort of confused... I had this for a equation X^2 + 4X - 1 = 0 and then I was like zero?
8. ### Economics

The market demand in a Bertrand duopoly is P = 15 - 4Q, and the marginal costs are \$3. Fixed costs are zero for both firms. Which of the following statement(s) is/are true?
9. ### Math

Need to find out how many answers I got correct out of 40 questions. I ended with a zero at the end .5 points were given fr the correct answer while 3oints were deducted or the wrong answer
10. ### Physics

Multiple Choice. If all of the forces acting on an object an object are balanced (net force is zero), then: a. The object's speed will decrease b. The object's direction of motion can change, but its speed cannot C. The object is ecperiencing …

More Similar Questions