Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity 
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first

(as we know cos(a+b) = cosa×cosb-sina×sinb)


= - sinx ( Right hand side)
Hence identity is proved.
Total amount of money = amount Jenny receives + amount Bailey receives
$30 = 2j + j
30 = 3j
j = $10
Vertical asymptotes ares found where the function is undefined. f(x) is undefined when the denominator equals zero:
x^2-1=0
<em>*Add 1 to both sides*</em>
x^2=1
<em>*Take the square root of both sides*</em>
x=+/-1
There are vertical asymptotes at x=-1 and x=1.
Hope this helps!!