A twice differentiable function f(x)is defined for all real numbers and satisfies the following conditions $f\left(0\right)=2;f^{\prime }\left(0\right)--5\text{and}f\left(0\right)=3$. The function $g\left(x\right)$ is defined by $g\left(x\right)=e^{ax}+f\left(x\right)\forall x\in R$, where 'a' is any constant If $g^{\prime }\left(0\right)+g\left(0\right)=0$. Find the value(s) of 'a'

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