Answer:
(g o f)(x) = [tex]\sqrt{-510}[/tex] (not simplified)
Step-by-step explanation:
(g o f)(x) = g(f(x))
g(x) = [tex]\sqrt{3x}[/tex] f(x) = [tex]x^{3} + 9x[/tex]
g(f(-5)) = g([tex](-5)^{3} + 9(-5)[/tex] = [tex](-125) + (-45)[/tex] = [tex]-170[/tex]
g(-170) = [tex]\sqrt{3(-170)}[/tex] = [tex]\sqrt{-510}[/tex]
