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Set up the composite result function.

Evaluate by substituting in the value of into .

Use the Multinomial Theorem.

Simplify each term.

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Rewrite using the commutative property of multiplication.

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply by by adding the exponents.

Move .

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Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Apply the product rule to .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Multiply by .

Apply the product rule to .

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Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

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Multiply by by adding the exponents.

Move .

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Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

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Apply the product rule to .

Raise to the power of .

Multiply by .

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Raise to the power of .

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Multiply by .

Raise to the power of .

Add and .

Add and .

Subtract from .

Use the Multinomial Theorem.

Simplify each term.

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Rewrite using the commutative property of multiplication.

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Apply the product rule to .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Multiply by .

Apply the product rule to .

Raise to the power of .

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

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Apply the product rule to .

Raise to the power of .

Multiply by .

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Raise to the power of .

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Raise to the power of .

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Raise to the power of .

Add and .

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Subtract from .

Apply the distributive property.

Simplify.

Multiply by .

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Multiply by .

Apply the distributive property.

Simplify.

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Subtract from .

Add and .

Add and .

Subtract from .

Subtract from .

Subtract from .

Subtract from .

Simplify by adding numbers.

Add and .

Add and .

Evaluate the result function by replacing with in the function.

Simplify each term.

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Raising to any positive power yields .

Multiply by .

Multiply by .

Simplify by adding zeros.

Add and .

Add and .

Add and .

Add and .

Add and .

Add and .

Solve the Function Operation (fog)(0) , f(x)=x^3+2x^3+5x , g(x)=-4x^2-3x+7