Let f(x) = 2x + 7 and g(x) = 3x + c. Find c if \((f \circ g)(x) = (g \circ f)(x)\) for all x.
We have:
2(3x+c) + 7 = 3(2x+7) + c
6x + 2c + 7 = 6 x + 21 + c
2c + 7 = 21 + c
c = 14
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Thank you!!