Perpendicular AsymptotesAlgebra Level 3
You are given two functions \(f\) and \(g\) above, where \(a, b, c,\) and \(d\) are unknown constants. Also, you are given the following information about the function \(g\):
It has the same vertical asymptote as \(f\).
Its diagonal asymptote is perpendicular to that of \(f\), and these two asymptotes intersect each other on the \(y\)-axis.
The graphs of \(f\) and \(g\) have two intersection points. One of them is at \(x = -2\). (In other words, \(f(-2) = g(-2)\).)
What is the value of the other \(x\)-coordinate where \(f\) and \(g\) intersect?