Consider the function: f ( x ) = e ( x 3 ) e ( 2 x 2 ) e x e 3 . {\displaystyle f(x)={\dfrac {e^{\left(x^{3}\right)}e^{\left(2x^{2}\right)}e^{x}}{e^{3}}}.}
(a) How many solutions are there to the equation f ( x ) = 0 {\displaystyle f(x)=0} ? Justify your answer.
