Let f(x) = 3x+2 and g(x) = 2x+A. Find a value for A so that f(g(x)) = g(f(x))

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f(g(x))=3g(x)+2=3(2x+A)+2=6x+3A+2;

g(f(x))=2f(x)+A=2(3x+2)+A=6x+4+A.

Therefore since f(g(x))=g(f(x)), 3A+2=4+A, 2A=2, A=1.

by Top Rated User (1.2m points)

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