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Let f(x) = 2x + 7 and g(x) = 3x + c. Find c if \((f \circ g)(x) = (g \circ f)(x)\) for all x.

 Jul 19, 2017
 #1
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We have:

 

 2(3x+c) + 7 = 3(2x+7) + c

 

6x + 2c + 7 = 6 x + 21 + c

 

2c + 7 = 21 + c

 

c = 14

 

.

 Jul 19, 2017
 #2
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Thank you!!

Guest Jul 19, 2017

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