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

, ,
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
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.
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.
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.
Multiply by .
Multiply by .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
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.
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.
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.
Multiply by .
Multiply by .
Multiply by .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Subtract from .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Subtract from .
Subtract from .
Subtract from .
Subtract from .
Subtract from .
Evaluate the result function by replacing with in the function.
Simplify the evaluated 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 .
Solve the Function Operation (fog)(0) , f(x)=x^3+2x^3+5x , g(x)=-4x^2-3x+7

## Try our mobile app

Our app allows students to get instant step-by-step solutions to all kinds of math troubles.

Scroll to top