find the asymptotes of the function F(x) = 7- ln(x-5)

Answer 1

I don't think there are any
the function is only defined for x>5
so it starts at (5,7) then continues to drop very slowly
Let's see if and where it crosses the x-axis ....
7 - ln(x-5) = 0
ln(x-5) = 7
x-5 = e^7
x = e^7 + 5 = appr1102

as x--->∞ , ln(x-5) does become larger and larger
so 7- ln(x-5) goes more and more into the negatives.
e.g. (9.9 x 10^99 , -223) is a point on it

(9.9 x 10^99 is the largest number I can get into my calculator)