Asked by Megan
Find the inverse function of
f(x) = 1.5 ln(x-2) + 4
Please help! I don't even know where to start ):
f(x) = 1.5 ln(x-2) + 4
Please help! I don't even know where to start ):
Answers
Answered by
drwls
The inverse function gives you back x when you input f(x)
Let y = f(x) = 1.5 ln(x-2) +4
(y-4)/1.5 = ln (x-2)
e^[(y-4)/1.5) = x-2
x = e^[(y-4)/1.5) + 2
Now switch variables for the inverse function
f^(-1)(x) = e^[(x-4)/1.5) + 2
Let y = f(x) = 1.5 ln(x-2) +4
(y-4)/1.5 = ln (x-2)
e^[(y-4)/1.5) = x-2
x = e^[(y-4)/1.5) + 2
Now switch variables for the inverse function
f^(-1)(x) = e^[(x-4)/1.5) + 2
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