taniamia13 taniamia13
  • 20-12-2020
  • Mathematics
contestada

f(x) = 3x^2 -15
g(x) = 1 -2/3x

Respuesta :

jacobEwing
jacobEwing jacobEwing
  • 20-12-2020

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

[tex]f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60[/tex]

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