Question

Find the inverse of the function below. Determine the domain, range, and asymptotes of the function below and the inverse function.
f(x)=2e^(-x)+5

Answer 1

F(x)
Domain: all real numbers
Range: y>5
Asymptote y=5

\[f^{-1} (x)=\] -ln((x-5)/2)

Domain: x>5
Range: all real numbers
Asymptotes: x=5