Create a rational expression that satisfies the following criteria: 1) Domain is all reals except 1 and - 1 2) x=1 is a vertical asymptote 3) X = - 1 is a hole 4) There is a horizontal asymptote at y = 3

Question

Mathematics

Nevin

31 May, 12:30

Create a rational expression that satisfies the following criteria: 1) Domain is all reals except 1 and - 1 2) x=1 is a vertical asymptote 3) X = - 1 is a hole 4) There is a horizontal asymptote at y = 3

+3

Answers (1)

Know the Answer?

Luke Duncan · Answer 1

y = (3x² + x - 2) / (x² - 1)

Step-by-step explanation:

(x - 1) (x + 1) = x² - 1

In the denominator

f (x) / (x² - 1)

f (x) has a factor (x + 1)

3 + (x + 1) / (x² - 1)

(3x² - 3 + x + 1) / (x² - 1)

y = (3x² + x - 2) / (x² - 1)