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Homework Statement
Let f(x)=e^(-x)-x ,, x belongs to R
Find the domain of f inverse
Homework Equations
Domain of f inverse = range of f
The Attempt at a Solution
we have :
-inf < x < inf
-inf < -x < inf ... (1)
0 < e^(-x) < inf ... (2)
By adding (1) and (2) :
-inf < e^(-x) - x < inf
So domain of f = R = range of f inverse.
Is this correct?
Can I add the inequalities together?