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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.

 Feb 13, 2020
 #1
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We need to solve this

 

f(g(x))  =  g (f (x))

 

2(3x + c) + 7    = 3(2x + 7)  + c          simplify

 

6x + 2c + 7  =  6x + 21  + c      subtract  6x  from both sides

 

2c + 7  =  21 + c         subtract c , 7  from both sides

 

c  =  14

 

 

cool cool cool

 Feb 13, 2020

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