Respuesta :

[tex](fog)(x) = 8x-31[/tex]

Step-by-step explanation:

The given question is of composition. composition means that one function is put into another

Given

[tex]f(x) = 4x+5\\and\\g(x) = 2x-9[/tex]

[tex](fog)(x)=f(g(x))\\so,\\(fog)(x)=4(g(x))+5\\=4(2x-9)+5\\=8x-36+5\\=8x-31[/tex]

So,

[tex](fog)(x) = 8x-31[/tex]

Keywords: Functions, Composition

Learn more about functions at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

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