liatomas liatomas
  • 02-08-2020
  • Mathematics
contestada

If f (x) = -9x - 9 and g (x) = Vx - 9, what is (f ° g) (10)?

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 07-08-2020

Answer: [tex](f \circ g) (10)= -18\ .[/tex]

Step-by-step explanation:

Given: [tex]f (x) = -9x - 9[/tex] and [tex]g (x) = \sqrt{x - 9}[/tex]

To find : (f o g) (10)

For this we first find (f o g) (x)= [tex]f(g(x))[/tex]

[tex]=f(\sqrt{x-9})\\\\=-9(\sqrt{x-9})-9[/tex]

Now,

[tex](f \circ g) (10)=-9(\sqrt{10-9})-9\\\\=-9\sqrt{1}-9\\\\=-9-9=-18[/tex]

Hence, the value of [tex](f \circ g) (10)= -18\ .[/tex]

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