SOLUTION: If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)

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Question 984999: If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28f-g%29%28x%29+=+f%28x%29+-+g%28x%29


%28f-g%29%28x%29+=+%28+f%28x%29+%29+-+%28+g%28x%29+%29 Surround the functions with parenthesis


%28f-g%29%28x%29+=+%28+3x%2B2+%29+-+%28+2x-2+%29 Replace f(x) with 3x+2. Replace g(x) with 2x-2


%28f-g%29%28x%29+=++3x%2B2++-++2x%2B2+ Distribute. Don't forget to distribute to EVERY term inside the parenthesis.


%28f-g%29%28x%29+=++3x++-++2x%2B2%2B2+ Rearrange terms


%28f-g%29%28x%29+=++x%2B4+ Combine like terms.