Respuesta :

(fog) (x) = 8*(2x+1)=16x+8

Answer:

[tex]16x + 8[/tex]

Step-by-step explanation:

Given,

[tex]f(x)= 8x------(1)[/tex],

[tex]g(x)=2x+1------(2)[/tex]

[tex](fog)(x)=f(g(x))[/tex]    ( Decomposition of functions )

[tex]=f(2x+1)[/tex]     ( From equation (2) )

[tex]=8(2x+1)[/tex]    ( From equation (1) )

[tex]=16x+8[/tex]      ( By distributive property )

Hence,

[tex](fog) (x) = 16x + 8[/tex]