Posted by Jo on Wednesday, January 18, 2012 at 2:58am.
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs.
f(x)=2ln(3x)+6

College Algebra  drwls, Wednesday, January 18, 2012 at 7:53am
We don't do graphs here

College Algebra  Steve, Wednesday, January 18, 2012 at 10:38am
However, the inverse is easily found:
If y = f(x), x = f^{1}(y)
y = 2ln(3x)+6
y6 = 2ln(3x)
(y6)/2 = ln(3x)
e^[(y6)/2] = 3x
x = 3  e^[(y6)/2] = f^{1}(y)
So, f^{1}(x) = 3  e^[(x6)/2]
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