Find the inverse

Question

Y=1+In(-x) find the domain range and asymptote

Answer 1

y = 1+ln(-x)

domain: x<0, range: all real numbers.

To get inverse interchange x and y: x = 1+ln(-y),

solve for y: x-1 = ln(-y), -y = e^(x-1), y = - e^(x-1). this is your inverse function.

domain: all real numbers, range: y< 0, x +0 is asymptote