Posted by Ashley on Sunday, April 7, 2013 at 10:17pm.
Given f(x)=-4+lnx; Find the inverse of f. f^-1=?
Algebra - Reiny, Sunday, April 7, 2013 at 11:08pm
y = 4 + lnx
x = 4 + lny
solving for y
lny = x-4
y = e^(x-4)
f^-1 (x) = e^(x-4)
Algebra - Kendall, Sunday, April 7, 2013 at 11:23pm
How do you find the domain and range?
Algebra - Reiny, Sunday, April 7, 2013 at 11:31pm
domain is your choice of x's that you can use in your equation
For logs, one of the main properties is that I can only take the log of a positive number
so for y = 4 + lnx , the domain is x > 0
however, the result of taking such logs results in any real number, so the range is y ∈ R
After taking the inverse of a function, the domain of the original becomes the range of the inverse, and the range of the original becomes the domain of the inverse.
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