f(x) = 3x - 2 g(x) = (x+2) / 3
f(g(x)) = f((x+2)/3) = 3[(x+2)/3] -2 = x+2-2 = x
g(f(x)) = g(3x-2) = (3x-2+2)/3 = 3x/3 = x
Since f(g(x)) = g(f(x)) = x, f(x) and g(x) are inverse functions.
Destiny P.
asked • 09/07/18f(x)=3x-2 and g(x)=x+2/3
find f(g(x)) and g(f(x))
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2 Answers By Expert Tutors
Larry C. answered • 09/07/18
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f(g(x)) = 3(x+2/3)-2 = 3x+2-2 = 3x
g(f(x)) = (3x-2)+2/3 = 3x-4/3
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