SOLUTION: (e^-t+(1/t))e^t=? pls give me brief solution Meera

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Question 574536: (e^-t+(1/t))e^t=? pls give me brief solution
Meera
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28e%5E%28-t%29+%2B+%281%2Ft%29%29e%5Et+
+e%5E%28-t%29%2Ae%5Et+%2B+e%5Et%2Ft+
+e%5Et%2Fe%5Et+%2B+e%5Et%2Ft+
+1+%2B+e%5Et%2Ft+
------------
I noticed that t cannot be +ln%281%29+
since +ln%281%29+=+0+, and you get
+1+%2B+1%2F0+, which is infinite
Here's a plot of the function:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+1+%2B+e%5Ex%2Fx+%29+