Finite Math Examples

f(x)=6x-5 , g(x)=7x-1
Step 1
Replace the function designators with the actual functions in f(x)(g(x)).
(6x-5)(7x-1)
Step 2
Simplify.
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Step 2.1
Expand (6x-5)(7x-1) using the FOIL Method.
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Step 2.1.1
Apply the distributive property.
6x(7x-1)-5(7x-1)
Step 2.1.2
Apply the distributive property.
6x(7x)+6x-1-5(7x-1)
Step 2.1.3
Apply the distributive property.
6x(7x)+6x-1-5(7x)-5-1
6x(7x)+6x-1-5(7x)-5-1
Step 2.2
Simplify and combine like terms.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Rewrite using the commutative property of multiplication.
67xx+6x-1-5(7x)-5-1
Step 2.2.1.2
Multiply x by x by adding the exponents.
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Step 2.2.1.2.1
Move x.
67(xx)+6x-1-5(7x)-5-1
Step 2.2.1.2.2
Multiply x by x.
67x2+6x-1-5(7x)-5-1
67x2+6x-1-5(7x)-5-1
Step 2.2.1.3
Multiply 6 by 7.
42x2+6x-1-5(7x)-5-1
Step 2.2.1.4
Multiply -1 by 6.
42x2-6x-5(7x)-5-1
Step 2.2.1.5
Multiply 7 by -5.
42x2-6x-35x-5-1
Step 2.2.1.6
Multiply -5 by -1.
42x2-6x-35x+5
42x2-6x-35x+5
Step 2.2.2
Subtract 35x from -6x.
42x2-41x+5
42x2-41x+5
42x2-41x+5
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 [x2  12  π  xdx ] 
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