Respuesta :
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]