Given f (x) = (2x + 1) / (x + a), [x ≠ - A, a ≠ 1 / 2], find the inverse function of F (x); if f (x) = f - &# 185; (x), find the value of A

Given f (x) = (2x + 1) / (x + a), [x ≠ - A, a ≠ 1 / 2], find the inverse function of F (x); if f (x) = f - &# 185; (x), find the value of A

y=(2x+1)/(x+a)
2x+1=xy+ay
x(2-y)=ay-1
x=(-ay+1)/(y-2)
The inverse function of F (x)
y=(-ax+1)/(x-2)
If f (x) = f - &,
f(x)=(2x+1)/(x+a)=(-ax+1)/(x-2)
a=-2