Calculus Examples

Solve the Function Operation f(x)=5x^2-2x , g(x)=8x+3 , f(g(k))
, ,
Step 1
Set up the composite result function.
Step 2
Evaluate by substituting in the value of into .
Step 3
Simplify each term.
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Step 3.1
Rewrite as .
Step 3.2
Expand using the FOIL Method.
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Step 3.2.1
Apply the distributive property.
Step 3.2.2
Apply the distributive property.
Step 3.2.3
Apply the distributive property.
Step 3.3
Simplify and combine like terms.
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Step 3.3.1
Simplify each term.
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Step 3.3.1.1
Rewrite using the commutative property of multiplication.
Step 3.3.1.2
Multiply by by adding the exponents.
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Step 3.3.1.2.1
Move .
Step 3.3.1.2.2
Multiply by .
Step 3.3.1.3
Multiply by .
Step 3.3.1.4
Multiply by .
Step 3.3.1.5
Multiply by .
Step 3.3.1.6
Multiply by .
Step 3.3.2
Add and .
Step 3.4
Apply the distributive property.
Step 3.5
Simplify.
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Step 3.5.1
Multiply by .
Step 3.5.2
Multiply by .
Step 3.5.3
Multiply by .
Step 3.6
Apply the distributive property.
Step 3.7
Multiply by .
Step 3.8
Multiply by .
Step 4
Simplify by adding terms.
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Step 4.1
Subtract from .
Step 4.2
Subtract from .