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

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Set the composite results function.

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

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


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]

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