Respuesta :

Answer:

1). g(-9) = -81.914

2). Last option

Step-by-step explanation:

1). f(x) = x²

   For x = -9

   f(-9) = (-9)² = 81

   g(x) = [tex]\frac{32}{2x-17}[/tex]

   g(-9) = [tex]\frac{32}{[2(-9)-17]}[/tex]

           = [tex]\frac{32}{-35}[/tex]

           = - [tex]\frac{32}{35}[/tex]    

   (g - f)(-9) = g(-9) - f(-9)

                  = [tex]-\frac{32}{35}-81[/tex]

                  = [tex]\frac{-32-2835}{35}[/tex]

                  = [tex]-\frac{2867}{35}[/tex]

                  = -81.914

2). The relation is not a function because this function doesn't passes a vertical line test.

Last option will be the answer.