Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 472: 114

$f^{-1}(x)=ln(x-10)$, domain $(10,\infty)$, rang $(-\infty,\infty)$

Step 1. Find the inverse: $y=e^{x}+10 \longrightarrow x=ln(y-10) \longrightarrow f^{-1}(x)=ln(x-10)$ Steo 2. For $f^{-1}(x)=ln(x-10)$, we can find domain $(10,\infty)$, rang $(-\infty,\infty)$