SOLUTION: (fog)(x)(gof), find f(x)=(3)/(1-8x), g(x)= (1)/(x)

Question 1047685: (fog)(x)(gof), find f(x)=(3)/(1-8x), g(x)= (1)/(x)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(fog)(x)(gof), find f(x)=(3)/(1-8x), g(x)= (1)/(x)
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fog(x) = f[1/x] = 3/(1-8/x) = 3x(x-8)
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gof(x) = g[3/(1-8x)] = (1-8x)/3
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Ans:: (3x)(x-8)(1-8x)/3 = x(x-8)(1-8x) = (x^2-8x)(1-8x) = x^2+64x^2-8x^3-8x
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= -8x^3+65x^2-8x
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Cheers,
Stan H.
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