Question 1080408
f(x) = -3+ln(x-5)


Let f(x) = y


y = -3+ln(x-5)


Exchange x and y


x = -3+ln(y-5)


Add 3 to both sides.


x + 3 = ln(y - 5)



Raise both sides with e as the base.



e^(x + 3) = e^(ln(y - 5))


e^(x + 3) = y - 5


Add 5 to both sides.


e^(x + 3) + 5 = y


Replace y with the inverse notation.


Answer: f^(-1) x = e^(x + 3) + 5