Finite Math Examples

Solve the Function Operation f(x)=2x^2-2 , g(x)=-2x , (fg)(x)
, ,
Step 1
Evaluate .
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Step 1.1
Replace the function designators in with the actual functions.
Step 1.2
Simplify by multiplying through.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Simplify the expression.
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Step 1.2.2.1
Rewrite using the commutative property of multiplication.
Step 1.2.2.2
Multiply by .
Step 1.3
Simplify each term.
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Step 1.3.1
Multiply by by adding the exponents.
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Step 1.3.1.1
Move .
Step 1.3.1.2
Multiply by .
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Step 1.3.1.2.1
Raise to the power of .
Step 1.3.1.2.2
Use the power rule to combine exponents.
Step 1.3.1.3
Add and .
Step 1.3.2
Multiply by .
Step 2
Evaluate at .
Step 3
Simplify .
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Step 3.1
Remove parentheses.
Step 3.2
Multiply by .