Posted by trish on .
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane.
I am totally lost, somebody please help????
pre calculus -
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.