(Solved): For questions 5 and 6 below, let f be the function defined by f(x)=ax2+bxx3 where a,b are real c ...

For questions 5 and 6 below, let $f$ be the function defined by $f(x)=\frac{x^3}{a{x}^2+bx}$ where $a,b$ are real constants. 5. State the domain of $f$ in terms of $a$ and $b$. 6. For what values of $a$ and $b$ is the graph of $f$ symmetric with respect to the origin? a. If $a=0$ and $b\ne 0$. b. If $a\ne 0$ and $b=0$. c. If $a\ne 0$ and $b\ne 0$. d. No such values of $a$ and $b$ exist.