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

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Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Combine the opposite terms in .
Reorder the factors in the terms and .
Subtract from .
Add and .
Simplify each term.
Multiply by .
Multiply by .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Add and .
Move to the left of .
Multiply by .
Subtract from .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Combine the opposite terms in .
Reorder the factors in the terms and .
Subtract from .
Add and .
Simplify each term.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Simplify by adding terms.
Subtract from .
Simplify by adding and subtracting.
Add and .
Subtract from .
Find f(g(x)) f(x)=2x^2-4x-3 , g(x)=(x-4)(x+4)

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