Find the possible values of `a` such that `f(x)=e^(2x)-(a+1)e^x+2x` is monotonically increasing for `x in Rdot`

Explanation

`f(x)=e^(2x)-(a+1)e^(x)+2x`
`f(x)=2e^(2x)-(a+1)e^(x)+2`
Now , `2e^(2x)-(a_+1)e^(x)+2ge0 forall` in R
or `2(e^(x)+(1))/(e^(x))-(a+1)ge0 forall x in` R
or `(a+1)le2(e^(x)+(1))/(e^(x))`or all x `in` R
or `(a+1)le2(e(x)+(1))/(e^(x))`or all x `in` R
or `(a+1)/(2)le2`
or `ale3`