SOLUTION: find the zeros of the function f(x)=xe^-x -e^-x

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Question 153489: find the zeros of the function
f(x)=xe^-x -e^-x

Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
find the zeros of the function



Set right side equal to zero:



Factor out 



Now we set each factor equal to zero.

Setting first factor = 0:



That part has no solution since a positive
number raise to any power is always positive
and thus can never equal to 0.

Setting  = 0





So 1 is the only solution.

Edwin

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!




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