Question

Find the inverse of: f(x)=lnx+4

Answer 1

to find the inverse first look up at this:
- one-to-one property (Horizontal line test)
- write the function as y=f(x)
- switch y and x roles so that x=f(y)
-then solve for y

Answer 2

he we have f(x)=lnx+4 is 1 to 1 so no problem here
y=lnx+4
then x=lny+4 (switching roles)
solve for y now

Answer 3

\[
y= \ln x + 4\\
y-4 = \ln x\\
x=??

\]

Answer 4

\[

x=e^{y-4}
\]
The inverse function is
\[
y=e^{4-x}
\]