Respuesta :

Step-by-step explanation:

If F(x) = 2x+6, g(x) = 3² findf(g (-3))

Solution

f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))

= 2x+6(-27) = 54x-162 = 54x = 162

54/54x = 162/54

x = 3

Answer:

➩ [tex]f(g(-3)) = 24[/tex]

Step-by-step explanation:

➨ Rearrange/Simplify the equations

[tex]F(x)=2x+6\\g(x)=9[/tex]

➨ Find [tex]f(g(-3))[/tex]

[tex]g(-3)=9[/tex] ➩ All x-values have same y-values ➩ Constant Function

Substitute [tex]g(-3) = 9[/tex] in the f(x)

[tex]f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24[/tex]

Thus, the answer ➩ [tex]f(g(-3)) = 24[/tex]