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garri49 [273]
2 years ago
10

Find f(g(x)) f(x)=2x-5 , g(x)=4x+3

Mathematics
1 answer:
hichkok12 [17]2 years ago
4 0

Set the composite results function.

\boldsymbol{f(g(x)) }

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

\boldsymbol{2(4x+3)-5}

Simplify each term.

Apply the distributive property.

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

Multiply 4 by 2.

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

Multiply 2 by 3.

  • \boldsymbol{f(4x+3)=8x+6-5 }

Subtract 5 from 6.

  • \boldsymbol{f(4x+3)=8x+1 }

\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

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