Hello! I need some assistance with this homework question posted below

Given:
[tex]f(x)=\frac{4x^2}{9x^2+7}[/tex]By taking the denominator
[tex]\begin{gathered} 9x^2+7=0 \\ x^2=-\frac{7}{9} \\ x=\pm\frac{\sqrt[]{7}}{3}i \end{gathered}[/tex]Domain:
[tex](-\infty,\infty)[/tex]