Question

In the equation $y=\frac{1}{x-1}+\frac{1}{x+1}$, find the value of y when x = -2

• A. $y=\frac{7}{3}$
• B. $y=-\frac{4}{3}$
• C. $y=\frac{4}{9}$
• D. $y=\frac{4}{7}$

Answer 1

The correct option is B

$y=-\frac{4}{3}$

$y=\frac{1}{x-1}+\frac{1}{x+1}$

x = -2

$y=\frac{1}{-2-1}+\frac{1}{-2+1}$

$=\frac{1}{-3}+\frac{1}{-1}$

$=\frac{1}{-3}-1$

$=\frac{-1}{3}-1$

$=-(\frac{1}{3}+1)$

$=-\left(\frac{4}{3}\right)$