Question

What is the inverse of the function g(x)=\dfrac{-x-2}{x+4}g(x)= ​x+4 ​ ​−x−2 ​​ g, left parenthesis, x, right parenthesis, equals, start fraction, minus, x, minus, 2, divided by, x, plus, 4, end fraction ?

Answer 1

hello :
y= (-x-2)/(x+4)
clculate : x 
y(x+4) = -x -2
yx +x = -2 - 4y
x(y+1) = - 2 -4y  
x = (- 2 -4y )/(y+1)
so : g-1(x) =  (-2-4x) / (x+1)