Question

Find the zeros of the function
f(x) = 4xe-x + e-x. Show how you solve problem please I need help in less than 10 minutes

Answer 1

take out common factor \(e^{-x}\) and see what happens

Answer 2

\[f(x)=4xe^{-x}+e^{-x}=0\]\[e^{-x}(4x+1)=0\]using zero product property\[e^{-x}=0\]or\[4x+1=0\]makes sense?