Question

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane.
F(x)= ln(8-x)


I am totally lost, somebody please help????

Answer 1

y=ln(8-x)
e^y = 8-x
x = 8-e^y

so, f^-1 = 8 - e^x

ln(u) is defined only for u>0, so that means the domain of F is all reals such that 8-x > 0, or x<8.

ln(8-x) has a vertical asymptote where 8-x=0, or x=8.

range is all reals.

domain and range are swapped for the inverse.