Question

Find the inverse of the function
f(x) = (x - 4)/(x + 4) x does not equal -4

Answer 1

let y=(x-4)/(x+4)
4y +xy=x-4.
4(y+1)=x(1-y).

x=4(y+1)/(1-y).


Therefore,the inverse of the given function is
F(x)=4(x+1)/(1-x)
Where x not equal to 1/