What is the xintercept of yxexSolutionGiven function is y x

What is the x-intercept of y=-x+e^x

Given function is y = -x+e^x

To find x intercept we substitute y =0

When y =0

we have x + e^x=0

Let f(x) = x+e^x

f(0) = 1

f(-1) = -1.3679

So there is a root between -1 and 0

f(-0.5) >0

So root lies between -0.5 and -1

f(0.75) <0

So rootlies between 0.5 and 0.75

Thus we find x intercept as a value =-0.567

x intercept =-0.567 upto 3 decimals.