jamaria28 jamaria28
  • 14-04-2018
  • Mathematics
contestada

if f(x)= 8x and g(x)=2X+1 find (fog) (x)

Respuesta :

mkryukova19 mkryukova19
  • 14-04-2018
(fog) (x) = 8*(2x+1)=16x+8
Answer Link
parmesanchilliwack parmesanchilliwack
  • 10-06-2019

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]

Answer Link

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