SOLUTION: f(x)-2+e^x a)find the inverse function f^-1(x) b)fine the domain and range of f^-1(x)

Algebra ->  Functions -> SOLUTION: f(x)-2+e^x a)find the inverse function f^-1(x) b)fine the domain and range of f^-1(x)      Log On


   

Question 607440: f(x)-2+e^x
a)find the inverse function f^-1(x)
b)fine the domain and range of f^-1(x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)-2+e^x
a)find the inverse function f^-1(x)
y = -2 + e^x
Interchange x and y:
x = -2 + e^y
Solve for "y":
e^y = x+2
f^-1(x) = ln(x+2)
------------------------
b)find the domain and range of f^-1(x)
Domain: All Real numbers > -2
Range: All Real Numbers
================================
Cheers,
Stan H.
=====================