Respuesta :

Esther

Answer:

110

Step-by-step explanation:

Given that [tex]f(x)=x^2 + x[/tex] and [tex]g(x) = 3x + 1[/tex] , find f(g(4))

f(g(4)) ==> you always start from the inside (g(4)).

[tex]g(x) = 3x + 1[/tex]

[tex]g(4) = 3(3) + 1[/tex]

[tex]g(4) = 9 + 1[/tex]

[tex]g(4) = 10[/tex]

[tex]f(x)=x^2 + x[/tex]

[tex]f(10)=10^2 + 10[/tex]

[tex]f(10)=100 + 10[/tex]

[tex]f(10)=110[/tex]

Final answer, 110.

Hope this helps!