Answer:
[tex]\left(\frac{h}{g}\right)(a) = \frac{a^2-2}{3a-1}[/tex] for [tex]a \neq \frac{1}{3}[/tex].
Step-by-step explanation:
By definition, [tex]\left(\frac{h}{g}\right)(a)[/tex] is equal to [tex]\frac{h(a)}{g(a)}[/tex], which is equal to [tex]\frac{a^2-2}{3a-1}[/tex] where [tex]a \neq \frac{1}{3}[/tex]. If [tex]a = \frac{1}{3}[/tex], then [tex]g(a)[/tex] is equal to zero and [tex]\left(\frac{h}{g}\right)(a)[/tex] is not defined.
