Find f(g(x)) f(x)=3x^3-2x^2+7x-5 g(x)=5x^2+x-1

Math
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
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Use the Multinomial Theorem.
Simplify each term.
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Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Subtract from .
Subtract from .
Add and .
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Rewrite as .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Move to the left of .
Rewrite as .
Multiply by .
Rewrite as .
Multiply by .
Add and .
Add and .
Subtract from .
Subtract from .
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Subtract from .
Add and .
Add and .
Add and .
Add and .
Simplify by subtracting numbers.
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Subtract from .
Subtract from .
Subtract from .
Find f(g(x)) f(x)=3x^3-2x^2+7x-5 g(x)=5x^2+x-1

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