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Finite Math Examples
,
Step 1
Step 1.1
Replace the function designators with the actual functions in .
Step 1.2
Simplify.
Step 1.2.1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 1.2.2
Simplify terms.
Step 1.2.2.1
Simplify each term.
Step 1.2.2.1.1
Multiply by .
Step 1.2.2.1.2
Multiply by .
Step 1.2.2.1.3
Rewrite using the commutative property of multiplication.
Step 1.2.2.1.4
Multiply by by adding the exponents.
Step 1.2.2.1.4.1
Move .
Step 1.2.2.1.4.2
Multiply by .
Step 1.2.2.1.5
Multiply by .
Step 1.2.2.1.6
Rewrite using the commutative property of multiplication.
Step 1.2.2.1.7
Multiply by by adding the exponents.
Step 1.2.2.1.7.1
Move .
Step 1.2.2.1.7.2
Multiply by .
Step 1.2.2.1.7.2.1
Raise to the power of .
Step 1.2.2.1.7.2.2
Use the power rule to combine exponents.
Step 1.2.2.1.7.3
Add and .
Step 1.2.2.1.8
Multiply by .
Step 1.2.2.1.9
Rewrite using the commutative property of multiplication.
Step 1.2.2.1.10
Multiply by by adding the exponents.
Step 1.2.2.1.10.1
Move .
Step 1.2.2.1.10.2
Multiply by .
Step 1.2.2.1.10.2.1
Raise to the power of .
Step 1.2.2.1.10.2.2
Use the power rule to combine exponents.
Step 1.2.2.1.10.3
Add and .
Step 1.2.2.1.11
Multiply by .
Step 1.2.2.1.12
Rewrite using the commutative property of multiplication.
Step 1.2.2.1.13
Multiply by by adding the exponents.
Step 1.2.2.1.13.1
Move .
Step 1.2.2.1.13.2
Use the power rule to combine exponents.
Step 1.2.2.1.13.3
Add and .
Step 1.2.2.1.14
Multiply by .
Step 1.2.2.2
Simplify by adding terms.
Step 1.2.2.2.1
Add and .
Step 1.2.2.2.2
Add and .
Step 2
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Step 3