Posted by **phyllys** on Sunday, December 30, 2012 at 8:10pm.

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)=3+lnx

- Pre-Cal. -
**Reiny**, Sunday, December 30, 2012 at 10:45pm
y = 3 + lnx

first step in finding the inverse is to interchange the x and y variables, so

inverse is

x = 3 + lny

x-3 = lny

y = e^(x-3)

in original y = 3 + lnx

domain , x > 0 , y is any real number

so in the inverse these two would be interchanged.

remember , when graphing an inverse of a function, you get a reflection in the line y = x

check:

in original, let x = 5

y = 3+ln5 = 4.6094... (I stored it in memory)

in inverse:

x = 4.6094

y = e^(1.6094) = 5

Yeahh

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