Question

Find the inverse of the following function. Find the domain, range, and asymptotes of each function.
Graph both functions on the same coordinate plane

f(x)=4+e^-x/3

please help me! show steps also, if i an just given an answer that wont help me! thanks in advance!!!

Answer 1

I am not exactly certain of your function, I think it is this:

y=(4+e^-x)/3

e^-x=3y-4

take ln of each side

-x= ln(3y-4)
then swap variables
y=-ln(3x-4) which is the inverse function.

Answer 2

no that's not it, i am not sure how to show it on here but the -x/3 is on the side of the e. like if you had 2^3 it would be, (2)(2)(2). that is what the e^-x/3 should represent. if this makes sense