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 Feb 2, 2018
 #1
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1.

 

f(x) + g(x)

                                                   Since  f(x)  =  -5x - 4, we can substitute  -5x - 4  in for  f(x)

f(x) + g(x)  =  (-5x - 4) + g(x)

                                                   Since  g(x)  =  6x - 7, we can substitute  6x - 7  in for  g(x)

f(x) + g(x)  =  (-5x - 4) + (6x - 7)

 

f(x) + g(x)  =  -5x - 4 + 6x - 7

                                                   Combine like terms.

f(x) + g(x)  =  x - 11

 

2.

 

f(x) - g(x)

                                                   Since  f(x)  =  3x + 2, we can substitute  3x + 2  in for  f(x)

f(x) - g(x)  =  (3x + 2) - g(x)

                                                   Since  g(x)  =  6x - 7, we can substitute  6x - 7  in for  g(x)

f(x) - g(x)  =  (3x + 2) - (6x - 7)

                                                   Distribute the  -1  to the terms in parenthesees.

f(x) - g(x)  =  3x + 2 - 6x + 7

                                                   Combine like terms.

f(x) - g(x)  =  -3x + 9

 Feb 2, 2018

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