Respuesta :

Set the composite results function.

[tex]\boldsymbol{f(g(x)) }[/tex]

Evaluate f(g(x)) by substituting the value of g into f.

[tex]\boldsymbol{2(4x+3)-5}[/tex]

Simplify each term.

Apply the distributive property.

  • [tex]\boldsymbol{f(4x+3)=2(4x)+2\cdot3-5 }[/tex]

Multiply 4 by 2.

  • [tex]\boldsymbol{f(4x+3)=8x+2\cdot3-5 }[/tex]

Multiply 2 by 3.

  • [tex]\boldsymbol{f(4x+3)=8x+6-5 }[/tex]

Subtract 5 from 6.

  • [tex]\boldsymbol{f(4x+3)=8x+1 }[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

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