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]