Thread: Solving exponential

Hi,
I don't get this question so well. Can somebody pls help!
Find the zeros of the function:

f(x)=x(e^-x) - e^-x

Thank you

Isabel

Originally Posted by cuteisa89

Hi,
I don't get this question so well. Can somebody pls help!
Find the zeros of the function:

f(x)=x(e^-x) - e^-x

Thank you

Isabel

first let's factor out the e^-x

=> f(x) = (e^-x)(x - 1)

to find the zeroes, we must solve:
(e^-x)(x - 1) = 0

=> e^-x = 0 or x - 1 = 0

however, e^-x is never 0

so we must have x - 1 = 0
=> x = 1