SOLUTION: 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)=ln(8-x) thanks :)

Question 712297: 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)=ln(8-x)
thanks :)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
We look for another function g(x) so that g(f(x))=f(g(x))=x.

Considering the given function f(x)=ln(8-x), use g(x) as input:
f(g(x))=ln(8-g(x))=x, because we want f and g to be inverses.

or
, the inverse of .

g(x)=8-e^x, graph:

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