Let f(x)=3x+2 and g(x)=Bx-1. Find a value for B so that f(g(x))=g(f(x)

Needed to find the value of B.
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1 Answer

f(gx) = 3(Bx-1) +2 = 3Bx-3+2 = 3Bx - 1

g(fx) = B(3x+2) -1 = 3Bx + 2B

Given f(gx) = g(fx)

so, 3Bx - 1 = 3Bx +2B

or 2B = -1

or B = -1/2

by Level 8 User (30.1k points)

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