college algebra

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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!!!

  • college algebra -

    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.

  • college algebra -

    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

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