SOLUTION: Find (f+g)(x), (f-g)(x), (f*g)(x) snd (f/g)(x) for each f(x) and g(x) 3. f(x)= x^2+7x+12 g(x)= x^2-9

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Question 188930This question is from textbook algebra2
: Find (f+g)(x), (f-g)(x), (f*g)(x) snd (f/g)(x) for each f(x) and g(x)

3. f(x)= x^2+7x+12
g(x)= x^2-9
This question is from textbook algebra2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Expand


Plug in and


Combine like terms.


So


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Start with the given expression.


Expand


Plug in and


Distribute


Combine like terms.


So


-----------------------------------------



Start with the given expression.


Expand


Plug in and



Rearrange the terms.


Expand. Note:


Distribute


Multiply


Combine like terms.


So


-----------------------------------------



Start with the given expression.


Expand


Plug in and


Factor to get .


Factor to get .


Highlight the common terms.


Cancel out the common terms.


Simplify.



So where or


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